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58293464004 = 22325233309433
BaseRepresentation
bin110110010010100011…
…111010101111000100
312120110120102210110100
4312102203322233010
51423341111322004
642440223124100
74132365161046
oct662243725704
9176416383410
1058293464004
11227a4160336
12b36a443630
135660032989
142b6dd89a96
1517b2a0c739
hexd928fabc4

58293464004 has 36 divisors (see below), whose sum is σ = 147381557596. Its totient is φ = 19427378688.

The previous prime is 58293463939. The next prime is 58293464011. The reversal of 58293464004 is 40046439285.

58293464004 is a `hidden beast` number, since 582 + 9 + 3 + 4 + 64 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39840958404 + 18452505600 = 199602^2 + 135840^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33672 + ... + 343104.

Almost surely, 258293464004 is an apocalyptic number.

It is an amenable number.

58293464004 is an abundant number, since it is smaller than the sum of its proper divisors (89088093592).

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

58293464004 is a wasteful number, since it uses less digits than its factorization.

58293464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314676 (or 314671 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 58293464004 in words is "fifty-eight billion, two hundred ninety-three million, four hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 5233 10466 15699 20932 31398 47097 62796 94194 188388 309433 618866 928299 1237732 1856598 2784897 3713196 5569794 11139588 1619262889 3238525778 4857788667 6477051556 9715577334 14573366001 19431154668 29146732002 58293464004