Search a number
-
+
57332102256 = 2432111310327031
BaseRepresentation
bin110101011001010000…
…100111010001110000
312110222120110120001200
4311121100213101300
51414404004233011
642201001531200
74066512554112
oct653120472160
9173876416050
1057332102256
1122350527aa0
12b1404a3b00
135538b03580
142abc4193b2
15175840e856
hexd59427470

57332102256 has 240 divisors, whose sum is σ = 190338150912. Its totient is φ = 15880665600.

The previous prime is 57332102221. The next prime is 57332102263. The reversal of 57332102256 is 65220123375.

57332102256 is a `hidden beast` number, since 573 + 3 + 2 + 10 + 22 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57332102256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107461 + ... + 2134491.

Almost surely, 257332102256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57332102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95169075456).

57332102256 is an abundant number, since it is smaller than the sum of its proper divisors (133006048656).

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

57332102256 is a wasteful number, since it uses less digits than its factorization.

57332102256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27172 (or 27163 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 57332102256 in words is "fifty-seven billion, three hundred thirty-two million, one hundred two thousand, two hundred fifty-six".