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57023885952 = 273411311272
BaseRepresentation
bin110101000110111000…
…110111001010000000
312110012002111112210000
4311012320313022000
51413241103322302
642110231440000
74056051014235
oct650670671200
9173162445700
1057023885952
1122202551580
12b075226000
1354b9cb9a67
142a8d50778c
15173b32b31c
hexd46e37280

57023885952 has 480 divisors, whose sum is σ = 192618138240. Its totient is φ = 16590873600.

The previous prime is 57023885951. The next prime is 57023885977. The reversal of 57023885952 is 25958832075.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57023885951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 449006913 + ... + 449007039.

It is an arithmetic number, because the mean of its divisors is an integer number (401287788).

Almost surely, 257023885952 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 57023885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96309069120).

57023885952 is an abundant number, since it is smaller than the sum of its proper divisors (135594252288).

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

57023885952 is a wasteful number, since it uses less digits than its factorization.

57023885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 57023885952 in words is "fifty-seven billion, twenty-three million, eight hundred eighty-five thousand, nine hundred fifty-two".