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27906370704 = 2432139212
BaseRepresentation
bin11001111111010110…
…010110110010010000
32200000211202111220100
4121333112112302100
5424123012330304
620453042212400
72005355144232
oct317726266220
980024674810
1027906370704
1110920467393
1254a9954100
1328296c7bb4
1414ca37a252
15ad4e1e439
hex67f596c90

27906370704 has 45 divisors (see below), whose sum is σ = 78104689689. Its totient is φ = 9301455360.

The previous prime is 27906370697. The next prime is 27906370711. The reversal of 27906370704 is 40707360972.

It is a happy number.

The square root of 27906370704 is 167052.

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

27906370704 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 637 + 0 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27906370697) and next prime (27906370711).

It can be written as a sum of positive squares in only one way, i.e., 16551337104 + 11355033600 = 128652^2 + 106560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27906370704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1997664 + ... + 2011584.

Almost surely, 227906370704 is an apocalyptic number.

27906370704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27906370704 is the 167052-nd square number.

It is an amenable number.

27906370704 is an abundant number, since it is smaller than the sum of its proper divisors (50198318985).

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

27906370704 is an frugal number, since it uses more digits than its factorization.

27906370704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 27906370704 in words is "twenty-seven billion, nine hundred six million, three hundred seventy thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13921 27842 41763 55684 83526 111368 125289 167052 222736 250578 334104 501156 668208 1002312 2004624 193794241 387588482 581382723 775176964 1162765446 1550353928 1744148169 2325530892 3100707856 3488296338 4651061784 6976592676 9302123568 13953185352 27906370704