Search a number
-
+
57164474700 = 22325210325987
BaseRepresentation
bin110101001111010001…
…001010100101001100
312110112220001012021200
4311033101022211030
51414033101142300
642132213025500
74062406006044
oct651721124514
9173486035250
1057164474700
1122274945a23
12b0b4325290
135510172078
142aa4062724
15174884c200
hexd4f44a94c

57164474700 has 162 divisors, whose sum is σ = 180965581524. Its totient is φ = 15093339840.

The previous prime is 57164474681. The next prime is 57164474743. The reversal of 57164474700 is 747446175.

57164474700 is a `hidden beast` number, since 57 + 1 + 64 + 474 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9545107 + ... + 9551093.

Almost surely, 257164474700 is an apocalyptic number.

57164474700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57164474700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90482790762).

57164474700 is an abundant number, since it is smaller than the sum of its proper divisors (123801106824).

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

57164474700 is a wasteful number, since it uses less digits than its factorization.

57164474700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 57164474700 in words is "fifty-seven billion, one hundred sixty-four million, four hundred seventy-four thousand, seven hundred".