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107837364996 = 223222922392
BaseRepresentation
bin110010001101110011…
…0111001101100000100
3101022100101000201212100
41210123212321230010
53231322331134441
6121312332552100
710535211323064
oct1443346715404
9338311021770
10107837364996
1141808421459
1218a96622630
13a22744b91a
14530dcb13a4
152c1230bcb6
hex191b9b9b04

107837364996 has 81 divisors (see below), whose sum is σ = 274934772021. Its totient is φ = 35639075808.

The previous prime is 107837364989. The next prime is 107837365019. The reversal of 107837364996 is 699463738701.

The square root of 107837364996 is 328386.

It is a perfect power (a square), and thus also a powerful number.

107837364996 is a `hidden beast` number, since 1 + 0 + 78 + 3 + 73 + 6 + 499 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100434483396 + 7402881600 = 316914^2 + 86040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451202245 + ... + 451202483.

Almost surely, 2107837364996 is an apocalyptic number.

107837364996 is the 328386-th square number.

It is an amenable number.

107837364996 is an abundant number, since it is smaller than the sum of its proper divisors (167097407025).

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

107837364996 is an equidigital number, since it uses as much as digits as its factorization.

107837364996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 107837364996 in words is "one hundred seven billion, eight hundred thirty-seven million, three hundred sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 229 239 458 478 687 717 916 956 1374 1434 2061 2151 2748 2868 4122 4302 8244 8604 52441 54731 57121 104882 109462 114242 157323 164193 171363 209764 218924 228484 314646 328386 342726 471969 492579 514089 629292 656772 685452 943938 985158 1028178 1887876 1970316 2056356 12533399 13080709 25066798 26161418 37600197 39242127 50133596 52322836 75200394 78484254 112800591 117726381 150400788 156968508 225601182 235452762 451202364 470905524 2995482361 5990964722 8986447083 11981929444 17972894166 26959341249 35945788332 53918682498 107837364996