Search a number
-
+
57256210368 = 2633731435367
BaseRepresentation
bin110101010100101111…
…000110111111000000
312110210021122211222000
4311110233012333000
51414230042212433
642145251144000
74064601521010
oct652457067700
9173707584860
1057256210368
1122311702325
12b11aba5000
135526181026
142ab2301c40
15175191d113
hexd54bc6fc0

57256210368 has 896 divisors, whose sum is σ = 210115952640. Its totient is φ = 14944849920.

The previous prime is 57256210331. The next prime is 57256210381. The reversal of 57256210368 is 86301265275.

57256210368 is a `hidden beast` number, since 5 + 72 + 5 + 6 + 210 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 854570271 + ... + 854570337.

Almost surely, 257256210368 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 57256210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105057976320).

57256210368 is an abundant number, since it is smaller than the sum of its proper divisors (152859742272).

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

57256210368 is a wasteful number, since it uses less digits than its factorization.

57256210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57256210368 in words is "fifty-seven billion, two hundred fifty-six million, two hundred ten thousand, three hundred sixty-eight".