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72157768366944 = 25313517111181343
BaseRepresentation
bin10000011010000010001010…
…001001101011101101100000
3100110111012210221111001201110
4100122002022021223231200
533424213102200220234
6413244453212103320
721125140524105351
oct2032021211535540
9313435727431643
1072157768366944
1120a9aa35104127
1281147aa764b40
1331355aa07bc50
1413b66516b5d28
15851ec85961e9
hex41a08a26bb60

72157768366944 has 96 divisors (see below), whose sum is σ = 204023926600704. Its totient is φ = 22198094645760.

The previous prime is 72157768366919. The next prime is 72157768367077. The reversal of 72157768366944 is 44966386775127.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862737 + ... + 12044079.

It is an arithmetic number, because the mean of its divisors is an integer number (2125249235424).

Almost surely, 272157768366944 is an apocalyptic number.

It is an amenable number.

72157768366944 is an abundant number, since it is smaller than the sum of its proper divisors (131866158233760).

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

72157768366944 is a wasteful number, since it uses less digits than its factorization.

72157768366944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186540 (or 11186532 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 75.

The spelling of 72157768366944 in words is "seventy-two trillion, one hundred fifty-seven billion, seven hundred sixty-eight million, three hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5171 10342 15513 20684 31026 41368 62052 67223 82736 124104 134446 165472 201669 248208 268892 403338 496416 537784 806676 1075568 1613352 2151136 3226704 6453408 11181343 22362686 33544029 44725372 67088058 89450744 134176116 145357459 178901488 268352232 290714918 357802976 436072377 536704464 581429836 872144754 1073408928 1162859672 1744289508 2325719344 3488579016 4651438688 6977158032 13954316064 57818724653 115637449306 173456173959 231274898612 346912347918 462549797224 693824695836 751643420489 925099594448 1387649391672 1503286840978 1850199188896 2254930261467 2775298783344 3006573681956 4509860522934 5550597566688 6013147363912 9019721045868 12026294727824 18039442091736 24052589455648 36078884183472 72157768366944