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45420574572 = 223241285710771
BaseRepresentation
bin101010010011010001…
…101111011101101100
311100020102211020220200
4222103101233131230
51221010131341242
632511012313500
73165364341132
oct522321573554
9140212736820
1045420574572
1118298803a3a
128977312890
13438b0a7539
1422ac46b752
1512ac81804c
hexa9346f76c

45420574572 has 72 divisors (see below), whose sum is σ = 117665529072. Its totient is φ = 14764377600.

The previous prime is 45420574489. The next prime is 45420574607. The reversal of 45420574572 is 27547502454.

45420574572 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 0 + 5 + 74 + 572 = 666.

It is a super-2 number, since 2×454205745722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4211547 + ... + 4222317.

Almost surely, 245420574572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45420574572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58832764536).

45420574572 is an abundant number, since it is smaller than the sum of its proper divisors (72244954500).

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

45420574572 is a wasteful number, since it uses less digits than its factorization.

45420574572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 45420574572 in words is "forty-five billion, four hundred twenty million, five hundred seventy-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2857 5714 8571 10771 11428 17142 21542 25713 32313 34284 43084 51426 64626 96939 102852 117137 129252 193878 234274 351411 387756 441611 468548 702822 883222 1054233 1324833 1405644 1766444 2108466 2649666 3974499 4216932 5299332 7948998 15897996 30772747 61545494 92318241 123090988 184636482 276954723 369272964 553909446 1107818892 1261682627 2523365254 3785047881 5046730508 7570095762 11355143643 15140191524 22710287286 45420574572