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57324642375 = 35371121313883
BaseRepresentation
bin110101011000110100…
…001010000001000111
312110222001102120000210
4311120310022001013
51414400102024000
642200134010503
74066362264150
oct653064120107
9173861376023
1057324642375
11223472a2300
12b139aa6a33
1355373c0c40
142abb436927
151757939350
hexd58d0a047

57324642375 has 192 divisors, whose sum is σ = 129053223936. Its totient is φ = 21989088000.

The previous prime is 57324642337. The next prime is 57324642377.

57324642375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57324642375 - 210 = 57324641351 is a prime.

It is a super-2 number, since 2×573246423752 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57324642377) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4122184 + ... + 4136066.

It is an arithmetic number, because the mean of its divisors is an integer number (672152208).

Almost surely, 257324642375 is an apocalyptic number.

57324642375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57324642375 is an abundant number, since it is smaller than the sum of its proper divisors (71728581561).

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

57324642375 is a wasteful number, since it uses less digits than its factorization.

57324642375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13922 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 48.

The spelling of 57324642375 in words is "fifty-seven billion, three hundred twenty-four million, six hundred forty-two thousand, three hundred seventy-five".