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27942385464 = 2332755441241
BaseRepresentation
bin11010000001011111…
…101111011100111000
32200010100112020212100
4122001133233130320
5424211222313324
620500410143400
72006303233440
oct320137573470
980110466770
1027942385464
1110939825854
1254b9a21b60
132833cc77c6
1414d1073120
15ad81854c9
hex6817ef738

27942385464 has 48 divisors (see below), whose sum is σ = 86488337520. Its totient is φ = 7983538560.

The previous prime is 27942385447. The next prime is 27942385469. The reversal of 27942385464 is 46458324972.

It is a happy number.

27942385464 is a `hidden beast` number, since 2 + 7 + 94 + 2 + 3 + 8 + 546 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27942385464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27942385469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27720117 + ... + 27721124.

It is an arithmetic number, because the mean of its divisors is an integer number (1801840365).

Almost surely, 227942385464 is an apocalyptic number.

27942385464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27942385464 is an abundant number, since it is smaller than the sum of its proper divisors (58545952056).

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

27942385464 is a wasteful number, since it uses less digits than its factorization.

27942385464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55441260 (or 55441253 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 27942385464 in words is "twenty-seven billion, nine hundred forty-two million, three hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 55441241 110882482 166323723 221764964 332647446 388088687 443529928 498971169 665294892 776177374 997942338 1164266061 1330589784 1552354748 1995884676 2328532122 3104709496 3492798183 3991769352 4657064244 6985596366 9314128488 13971192732 27942385464