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58920485504 = 271727077429
BaseRepresentation
bin110110110111111011…
…110100001010000000
312122002021021210020212
4312313323310022000
51431132121014004
643022342253252
74154050602056
oct666773641200
9178067253225
1058920485504
1122a96094921
12b504427228
13572cbcc90a
142bcd3681d6
1517ecab696e
hexdb7ef4280

58920485504 has 32 divisors (see below), whose sum is σ = 124285403700. Its totient is φ = 27727286272.

The previous prime is 58920485471. The next prime is 58920485509. The reversal of 58920485504 is 40558402985.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57672983104 + 1247502400 = 240152^2 + 35320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×589204855042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58920485509) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13536539 + ... + 13540890.

Almost surely, 258920485504 is an apocalyptic number.

It is an amenable number.

58920485504 is an abundant number, since it is smaller than the sum of its proper divisors (65364918196).

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

58920485504 is a wasteful number, since it uses less digits than its factorization.

58920485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27077460 (or 27077448 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

The spelling of 58920485504 in words is "fifty-eight billion, nine hundred twenty million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 27077429 54154858 108309716 216619432 433238864 460316293 866477728 920632586 1732955456 1841265172 3465910912 3682530344 7365060688 14730121376 29460242752 58920485504