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57325056400 = 2452143312641
BaseRepresentation
bin110101011000110101…
…101111000110010000
312110222002012120222001
4311120311233012100
51414400203301100
642200150523344
74066365640213
oct653065570620
9173862176861
1057325056400
1122347555377
12b13a066554
135537507521
142abb50377a
1517579bbd6a
hexd58d6f190

57325056400 has 30 divisors (see below), whose sum is σ = 137723448962. Its totient is φ = 22930022400.

The previous prime is 57325056391. The next prime is 57325056463. The reversal of 57325056400 is 465052375.

57325056400 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 3 ways, for example, as 144769024 + 57180287376 = 12032^2 + 239124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57325056400.

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, 71655921 + ... + 71656720.

Almost surely, 257325056400 is an apocalyptic number.

57325056400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57325056400 is an abundant number, since it is smaller than the sum of its proper divisors (80398392562).

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

57325056400 is a wasteful number, since it uses less digits than its factorization.

57325056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143312659 (or 143312648 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 57325056400 in words is "fifty-seven billion, three hundred twenty-five million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 143312641 286625282 573250564 716563205 1146501128 1433126410 2293002256 2866252820 3582816025 5732505640 7165632050 11465011280 14331264100 28662528200 57325056400