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42664712584 = 23131747723473
BaseRepresentation
bin100111101111000000…
…111101100110001000
311002010101011221222011
4213233000331212020
51144334131300314
631333324505304
73040162034104
oct475700754610
9132111157864
1042664712584
111710413304a
1283283ab234
13403c162480
1420ca456904
15119a8eb4c4
hex9ef03d988

42664712584 has 32 divisors (see below), whose sum is σ = 86158500120. Its totient is φ = 19689440256.

The previous prime is 42664712567. The next prime is 42664712603. The reversal of 42664712584 is 48521746624.

42664712584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33025792900 + 9638919684 = 181730^2 + 98178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805872 + ... + 1829344.

Almost surely, 242664712584 is an apocalyptic number.

It is an amenable number.

42664712584 is an abundant number, since it is smaller than the sum of its proper divisors (43493787536).

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

42664712584 is a wasteful number, since it uses less digits than its factorization.

42664712584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40969 (or 40965 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The spelling of 42664712584 in words is "forty-two billion, six hundred sixty-four million, seven hundred twelve thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 17477 23473 34954 46946 69908 93892 139816 187784 227201 305149 454402 610298 908804 1220596 1817608 2441192 410237621 820475242 1640950484 3281900968 5333089073 10666178146 21332356292 42664712584