Search a number
-
+
57150338784 = 25371158713171
BaseRepresentation
bin110101001110011011…
…001111011011100000
312110111220110000110020
4311032123033123200
51414020441320114
642130550033440
74062144602340
oct651633173340
9173456400406
1057150338784
1122267970450
12b0ab648880
13550a262b16
142aa2222d20
1517474a8aa9
hexd4e6cf6e0

57150338784 has 192 divisors, whose sum is σ = 187370330112. Its totient is φ = 14817830400.

The previous prime is 57150338783. The next prime is 57150338801. The reversal of 57150338784 is 48783305175.

It is a super-2 number, since 2×571503387842 (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 (57150338783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4332519 + ... + 4345689.

It is an arithmetic number, because the mean of its divisors is an integer number (975887136).

Almost surely, 257150338784 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 57150338784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93685165056).

57150338784 is an abundant number, since it is smaller than the sum of its proper divisors (130219991328).

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

57150338784 is a wasteful number, since it uses less digits than its factorization.

57150338784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13789 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 57150338784 in words is "fifty-seven billion, one hundred fifty million, three hundred thirty-eight thousand, seven hundred eighty-four".