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126697138464 = 25313607167249
BaseRepresentation
bin111010111111110111…
…1001110100100100000
3110010000202000111100210
41311333233032210200
54033433431412324
6134112011214120
712103446623301
oct1657757164440
9403022014323
10126697138464
11498062603a6
122067a747340
13bc4182cbb0
1461bc9867a8
153467de7d29
hex1d7fbce920

126697138464 has 96 divisors (see below), whose sum is σ = 358755264000. Its totient is φ = 38919278592.

The previous prime is 126697138439. The next prime is 126697138471. The reversal of 126697138464 is 464831796621.

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

It is a super-3 number, since 3×1266971384643 (a number of 34 digits) contains 333 as substring.

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, 673912 + ... + 841160.

It is an arithmetic number, because the mean of its divisors is an integer number (3737034000).

Almost surely, 2126697138464 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 126697138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179377632000).

126697138464 is an abundant number, since it is smaller than the sum of its proper divisors (232058125536).

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

126697138464 is a wasteful number, since it uses less digits than its factorization.

126697138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167882 (or 167874 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 126697138464 in words is "one hundred twenty-six billion, six hundred ninety-seven million, one hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 607 624 1214 1248 1821 2428 3642 4856 7284 7891 9712 14568 15782 19424 23673 29136 31564 47346 58272 63128 94692 126256 167249 189384 252512 334498 378768 501747 668996 757536 1003494 1337992 2006988 2174237 2675984 4013976 4348474 5351968 6522711 8027952 8696948 13045422 16055904 17393896 26090844 34787792 52181688 69575584 101520143 104363376 203040286 208726752 304560429 406080572 609120858 812161144 1218241716 1319761859 1624322288 2436483432 2639523718 3248644576 3959285577 4872966864 5279047436 7918571154 9745933728 10558094872 15837142308 21116189744 31674284616 42232379488 63348569232 126697138464