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48228720804152 = 23731223136710513
BaseRepresentation
bin10101111011101000111111…
…10001011000000100111000
320022202121202110212010020022
422331310133301120010320
522310134410011213102
6250323545104550012
713105260442604000
oct1275643761300470
9208677673763208
1048228720804152
111440475a634789
1254ab071022308
1320bac44840355
14bca3d541b000
1558981679e5a2
hex2bdd1fc58138

48228720804152 has 128 divisors (see below), whose sum is σ = 105629868288000. Its totient is φ = 20635480180224.

The previous prime is 48228720804149. The next prime is 48228720804289. The reversal of 48228720804152 is 25140802782284.

It is a junction number, because it is equal to n+sod(n) for n = 48228720804094 and 48228720804103.

It is a congruent number.

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, 4587526448 + ... + 4587536960.

It is an arithmetic number, because the mean of its divisors is an integer number (825233346000).

Almost surely, 248228720804152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48228720804152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52814934144000).

48228720804152 is an abundant number, since it is smaller than the sum of its proper divisors (57401147483848).

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

48228720804152 is a wasteful number, since it uses less digits than its factorization.

48228720804152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 53.

The spelling of 48228720804152 in words is "forty-eight trillion, two hundred twenty-eight billion, seven hundred twenty million, eight hundred four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1223 1367 1372 2446 2734 2744 4892 5468 8561 9569 9784 10513 10936 17122 19138 21026 34244 38276 42052 59927 66983 68488 73591 76552 84104 119854 133966 147182 239708 267932 294364 419489 468881 479416 515137 535864 588728 838978 937762 1030274 1671841 1677956 1875524 2060548 3343682 3355912 3605959 3751048 4121096 6687364 7211918 11702887 12857399 13374728 14371271 14423836 23405774 25714798 28742542 28847672 46811548 51429596 57485084 81920209 90001793 93623096 100598897 102859192 114970168 163840418 180003586 201197794 327680836 360007172 402395588 573441463 630012551 655361672 704192279 720014344 804791176 1146882926 1260025102 1408384558 2293765852 2520050204 2816769116 4410087857 4587531704 4929345953 5040100408 5633538232 8820175714 9858691906 17576064433 17640351428 19717383812 35152128866 35280702856 39434767624 70304257732 123032451031 140608515464 246064902062 492129804124 861227157217 984259608248 1722454314434 3444908628868 6028590100519 6889817257736 12057180201038 24114360402076 48228720804152