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56215467200 = 2652192417673
BaseRepresentation
bin110100010110101100…
…111111010011000000
312101002202022121201202
4310112230333103000
51410112124422300
641454112320332
74030033405244
oct642654772300
9171082277652
1056215467200
1121928190602
12aa8a5430a8
1353bb679c79
142a13dca424
1516e038ead5
hexd16b3f4c0

56215467200 has 168 divisors, whose sum is σ = 146228683920. Its totient is φ = 21211545600.

The previous prime is 56215467169. The next prime is 56215467283. The reversal of 56215467200 is 276451265.

56215467200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7322564 + ... + 7330236.

Almost surely, 256215467200 is an apocalyptic number.

56215467200 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 56215467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73114341960).

56215467200 is an abundant number, since it is smaller than the sum of its proper divisors (90013216720).

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

56215467200 is a wasteful number, since it uses less digits than its factorization.

56215467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 56215467200 in words is "fifty-six billion, two hundred fifteen million, four hundred sixty-seven thousand, two hundred".