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42064671024 = 24324576311013
BaseRepresentation
bin100111001011001111…
…111111000100110000
311000120120002200200200
4213023033333010300
51142122023433044
631154011515200
73016254542565
oct471317770460
9130516080620
1042064671024
1116926456a32
12819b458b00
133c74a509ac
14207089c86c
151162dc1369
hex9cb3ff130

42064671024 has 120 divisors (see below), whose sum is σ = 118283878752. Its totient is φ = 13954913280.

The previous prime is 42064670981. The next prime is 42064671059. The reversal of 42064671024 is 42017646024.

42064671024 is a `hidden beast` number, since 4 + 2 + 0 + 646 + 7 + 1 + 0 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42064671024.

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, 41524342 + ... + 41525354.

Almost surely, 242064671024 is an apocalyptic number.

It is an amenable number.

42064671024 is an abundant number, since it is smaller than the sum of its proper divisors (76219207728).

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

42064671024 is a wasteful number, since it uses less digits than its factorization.

42064671024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42064671024 in words is "forty-two billion, sixty-four million, six hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 631 914 1013 1262 1371 1828 1893 2026 2524 2742 3039 3656 3786 4052 4113 5048 5484 5679 6078 7312 7572 8104 8226 9117 10096 10968 11358 12156 15144 16208 16452 18234 21936 22716 24312 30288 32904 36468 45432 48624 65808 72936 90864 145872 288367 462941 576734 639203 865101 925882 1153468 1278406 1388823 1730202 1851764 1917609 2306936 2556812 2595303 2777646 3460404 3703528 3835218 4166469 4613872 5113624 5190606 5555292 5752827 6920808 7407056 7670436 8332938 10227248 10381212 11110584 11505654 13841616 15340872 16665876 20762424 22221168 23011308 30681744 33331752 41524848 46022616 66663504 92045232 292115771 584231542 876347313 1168463084 1752694626 2336926168 2629041939 3505389252 4673852336 5258083878 7010778504 10516167756 14021557008 21032335512 42064671024