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42089804964 = 223231211032
BaseRepresentation
bin100111001100101111…
…110111010010100100
311000122022101121222100
4213030233313102210
51142144442224324
631200310332100
73020011303434
oct471457672244
9130568347870
1042089804964
1116939663489
1281a795a030
133c7a010b4c
142073d622c4
1511651d84c9
hex9ccbf74a4

42089804964 has 81 divisors (see below), whose sum is σ = 110036199819. Its totient is φ = 13565046960.

The previous prime is 42089804927. The next prime is 42089804993. The reversal of 42089804964 is 46940898024.

The square root of 42089804964 is 205158.

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

42089804964 is a `hidden beast` number, since 420 + 89 + 80 + 4 + 9 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42089804964.

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, 38158837 + ... + 38159939.

Almost surely, 242089804964 is an apocalyptic number.

42089804964 is the 205158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42089804964

42089804964 is an abundant number, since it is smaller than the sum of its proper divisors (67946394855).

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

42089804964 is a wasteful number, since it uses less digits than its factorization.

42089804964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42089804964 in words is "forty-two billion, eighty-nine million, eight hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1103 1116 1922 2206 2883 3309 3844 4412 5766 6618 8649 9927 11532 13236 17298 19854 34193 34596 39708 68386 102579 136772 205158 307737 410316 615474 1059983 1216609 1230948 2119966 2433218 3179949 3649827 4239932 4866436 6359898 7299654 9539847 10949481 12719796 14599308 19079694 21898962 37714879 38159388 43797924 75429758 113144637 150859516 226289274 339433911 452578548 678867822 1169161249 1357735644 2338322498 3507483747 4676644996 7014967494 10522451241 14029934988 21044902482 42089804964