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972744536064 = 2123711308879
BaseRepresentation
bin11100010011111000001…
…01111011000000000000
310102222211020110101210210
432021330011323000000
5111414140100123224
62022512255154120
7130164342063030
oct16117405730000
93388736411723
10972744536064
113455a1a27494
12138636215940
13709636b15a2
143511c7058c0
151a483a6d429
hexe27c17b000

972744536064 has 104 divisors (see below), whose sum is σ = 2964193154560. Its totient is φ = 277926985728.

The previous prime is 972744536063. The next prime is 972744536069. The reversal of 972744536064 is 460635447279.

It is a super-2 number, since 2×9727445360642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972744535995 and 972744536013.

It is not an unprimeable number, because it can be changed into a prime (972744536063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5568424 + ... + 5740455.

Almost surely, 2972744536064 is an apocalyptic number.

It is an amenable number.

972744536064 is an abundant number, since it is smaller than the sum of its proper divisors (1991448618496).

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

972744536064 is a wasteful number, since it uses less digits than its factorization.

972744536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308913 (or 11308891 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 972744536064 in words is "nine hundred seventy-two billion, seven hundred forty-four million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 21504 28672 43008 86016 11308879 22617758 33926637 45235516 67853274 79162153 90471032 135706548 158324306 180942064 237486459 271413096 316648612 361884128 474972918 542826192 633297224 723768256 949945836 1085652384 1266594448 1447536512 1899891672 2171304768 2533188896 2895073024 3799783344 4342609536 5066377792 5790146048 7599566688 8685219072 10132755584 11580292096 15199133376 17370438144 20265511168 23160584192 30398266752 34740876288 40531022336 46321168384 60796533504 69481752576 81062044672 121593067008 138963505152 162124089344 243186134016 324248178688 486372268032 972744536064