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137734680256 = 2653257157999
BaseRepresentation
bin1000000001000110100…
…0000110111011000000
3111011111222002201020221
42000101220012323000
54224040034232011
6143135140112424
712644123315365
oct2002150067300
9434458081227
10137734680256
115345a6aa968
122283b095714
13ccb0470204
14694882a46c
1538b1e00971
hex2011a06ec0

137734680256 has 56 divisors (see below), whose sum is σ = 279559512000. Its totient is φ = 67304620032.

The previous prime is 137734680247. The next prime is 137734680283. The reversal of 137734680256 is 652086437731.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792745 + ... + 950743.

Almost surely, 2137734680256 is an apocalyptic number.

137734680256 is a gapful number since it is divisible by the number (16) 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 137734680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139779756000).

137734680256 is an abundant number, since it is smaller than the sum of its proper divisors (141824831744).

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

137734680256 is a wasteful number, since it uses less digits than its factorization.

137734680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158321 (or 158311 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 137734680256 in words is "one hundred thirty-seven billion, seven hundred thirty-four million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 257 424 514 848 1028 1696 2056 3392 4112 8224 13621 16448 27242 54484 108968 157999 217936 315998 435872 631996 871744 1263992 2527984 5055968 8373947 10111936 16747894 33495788 40605743 66991576 81211486 133983152 162422972 267966304 324845944 535932608 649691888 1299383776 2152104379 2598767552 4304208758 8608417516 17216835032 34433670064 68867340128 137734680256