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48659327847120 = 24354120892367187
BaseRepresentation
bin10110001000001011000011…
…11100111000101011010000
320101021210020012222101000010
423010011201330320223100
522334213300412101440
6251253441524154520
713151343335225304
oct1304054174705320
9211253205871003
1048659327847120
111456033a029511
12555a606538a40
13211c72a236cb3
14c031a44c5d04
15595b1a231580
hex2c4161f38ad0

48659327847120 has 160 divisors (see below), whose sum is σ = 154597071404160. Its totient is φ = 12653271982080.

The previous prime is 48659327847089. The next prime is 48659327847121. The reversal of 48659327847120 is 2174872395684.

48659327847120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48659327847121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19372167 + ... + 21739353.

It is an arithmetic number, because the mean of its divisors is an integer number (966231696276).

It is a 2-persistent number, because it is pandigital, and so is 2⋅48659327847120 = 97318655694240, but 3⋅48659327847120 = 145977983541360 is not.

Almost surely, 248659327847120 is an apocalyptic number.

48659327847120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48659327847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77298535702080).

48659327847120 is an abundant number, since it is smaller than the sum of its proper divisors (105937743557040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48659327847120 is a wasteful number, since it uses less digits than its factorization.

48659327847120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369333 (or 2369327 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 48659327847120 in words is "forty-eight trillion, six hundred fifty-nine billion, three hundred twenty-seven million, eight hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2089 2460 3280 4178 4920 6267 8356 9840 10445 12534 16712 20890 25068 31335 33424 41780 50136 62670 83560 85649 100272 125340 167120 171298 250680 256947 342596 428245 501360 513894 685192 856490 1027788 1284735 1370384 1712980 2055576 2367187 2569470 3425960 4111152 4734374 5138940 6851920 7101561 9468748 10277880 11835935 14203122 18937496 20555760 23671870 28406244 35507805 37874992 47343740 56812488 71015610 94687480 97054667 113624976 142031220 189374960 194109334 284062440 291164001 388218668 485273335 568124880 582328002 776437336 970546670 1164656004 1455820005 1552874672 1941093340 2329312008 2911640010 3882186680 4658624016 4945053643 5823280020 7764373360 9890107286 11646560040 14835160929 19780214572 23293120080 24725268215 29670321858 39560429144 49450536430 59340643716 74175804645 79120858288 98901072860 118681287432 148351609290 197802145720 202747199363 237362574864 296703218580 395604291440 405494398726 593406437160 608241598089 810988797452 1013735996815 1186812874320 1216483196178 1621977594904 2027471993630 2432966392356 3041207990445 3243955189808 4054943987260 4865932784712 6082415980890 8109887974520 9731865569424 12164831961780 16219775949040 24329663923560 48659327847120