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42402660264 = 2332588925837
BaseRepresentation
bin100111011111011001…
…010011111110101000
311001110010002022202200
4213133121103332220
51143320040112024
631251324100200
73030530444136
oct473731237650
9131403068680
1042402660264
1116a8a218288
128274694660
133cc9a90023
1420a3720756
1511828d62c9
hex9df653fa8

42402660264 has 24 divisors (see below), whose sum is σ = 114840538410. Its totient is φ = 14134220064.

The previous prime is 42402660241. The next prime is 42402660283. The reversal of 42402660264 is 46206620424.

42402660264 is a `hidden beast` number, since 4 + 2 + 40 + 2 + 6 + 602 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24604432164 + 17798228100 = 156858^2 + 133410^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294462847 + ... + 294462990.

Almost surely, 242402660264 is an apocalyptic number.

It is an amenable number.

42402660264 is an abundant number, since it is smaller than the sum of its proper divisors (72437878146).

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

42402660264 is a wasteful number, since it uses less digits than its factorization.

42402660264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588925849 (or 588925842 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42402660264 in words is "forty-two billion, four hundred two million, six hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 588925837 1177851674 1766777511 2355703348 3533555022 4711406696 5300332533 7067110044 10600665066 14134220088 21201330132 42402660264