Search a number
-
+
56112863400 = 233452111916573
BaseRepresentation
bin110100010000100101…
…100101100010101000
312100211121020210210000
4310100211211202220
51404404343112100
641440005223000
74024346316636
oct642045454250
9170747223700
1056112863400
1121885280880
12aa60101a60
1353a3334269
142a0451c356
1516d6373900
hexd109658a8

56112863400 has 480 divisors, whose sum is σ = 223808666400. Its totient is φ = 12886387200.

The previous prime is 56112863383. The next prime is 56112863423. The reversal of 56112863400 is 436821165.

It is a happy number.

56112863400 is a `hidden beast` number, since 5 + 6 + 1 + 12 + 8 + 634 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3377514 + ... + 3394086.

It is an arithmetic number, because the mean of its divisors is an integer number (466268055).

Almost surely, 256112863400 is an apocalyptic number.

56112863400 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 56112863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111904333200).

56112863400 is an abundant number, since it is smaller than the sum of its proper divisors (167695803000).

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

56112863400 is a wasteful number, since it uses less digits than its factorization.

56112863400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16631 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 56112863400 in words is "fifty-six billion, one hundred twelve million, eight hundred sixty-three thousand, four hundred".