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48218465040 = 24356111329147
BaseRepresentation
bin101100111010000010…
…110110001100010000
311121110102112211002120
4230322002312030100
51242222411340130
634052401014240
73324620122164
oct547202661420
9147412484076
1048218465040
11194a4080509
129418324380
134715946525
142495ca2ca4
1513c3287910
hexb3a0b6310

48218465040 has 160 divisors (see below), whose sum is σ = 153277439616. Its totient is φ = 12535111680.

The previous prime is 48218465003. The next prime is 48218465203. The reversal of 48218465040 is 4056481284.

It is a junction number, because it is equal to n+sod(n) for n = 48218464983 and 48218465001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639747 + ... + 1668893.

Almost surely, 248218465040 is an apocalyptic number.

48218465040 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 48218465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76638719808).

48218465040 is an abundant number, since it is smaller than the sum of its proper divisors (105058974576).

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

48218465040 is a wasteful number, since it uses less digits than its factorization.

48218465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29337 (or 29331 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 48218465040 in words is "forty-eight billion, two hundred eighteen million, four hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 113 120 122 183 226 240 244 305 339 366 452 488 565 610 678 732 904 915 976 1130 1220 1356 1464 1695 1808 1830 2260 2440 2712 2928 3390 3660 4520 4880 5424 6780 6893 7320 9040 13560 13786 14640 20679 27120 27572 29147 34465 41358 55144 58294 68930 82716 87441 103395 110288 116588 137860 145735 165432 174882 206790 233176 275720 291470 330864 349764 413580 437205 466352 551440 582940 699528 827160 874410 1165880 1399056 1654320 1748820 1777967 2331760 3293611 3497640 3555934 5333901 6587222 6995280 7111868 8889835 9880833 10667802 13174444 14223736 16468055 17779670 19761666 21335604 26348888 26669505 28447472 32936110 35559340 39523332 42671208 49404165 52697776 53339010 65872220 71118680 79046664 85342416 98808330 106678020 131744440 142237360 158093328 197616660 200910271 213356040 263488880 395233320 401820542 426712080 602730813 790466640 803641084 1004551355 1205461626 1607282168 2009102710 2410923252 3013654065 3214564336 4018205420 4821846504 6027308130 8036410840 9643693008 12054616260 16072821680 24109232520 48218465040