Search a number
-
+
57155516880 = 2435741171127
BaseRepresentation
bin110101001110101110…
…111111100111010000
312110112021012002110120
4311032232333213100
51414023303020010
642131253030240
74062236610000
oct651656774720
9173467162416
1057155516880
112226a887870
12b0b1325380
13550b356997
142aa2bb0000
151747b7ce70
hexd4ebbf9d0

57155516880 has 800 divisors, whose sum is σ = 230467534848. Its totient is φ = 11616998400.

The previous prime is 57155516851. The next prime is 57155516911. The reversal of 57155516880 is 8861555175.

It is a super-3 number, since 3×571555168803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 450043377 + ... + 450043503.

Almost surely, 257155516880 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 57155516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115233767424).

57155516880 is an abundant number, since it is smaller than the sum of its proper divisors (173312017968).

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

57155516880 is a wasteful number, since it uses less digits than its factorization.

57155516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 51.

The spelling of 57155516880 in words is "fifty-seven billion, one hundred fifty-five million, five hundred sixteen thousand, eight hundred eighty".