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56182908096 = 2633710874273
BaseRepresentation
bin110100010100110000…
…110010010011000000
312101000111001110001000
4310110300302103000
51410030311024341
641450550412000
74026156560610
oct642460622300
9171014043030
1056182908096
1121910872457
12aa7b661000
1353b49ba223
142a0d952a40
1516dc5ac8b6
hexd14c324c0

56182908096 has 224 divisors, whose sum is σ = 188980551680. Its totient is φ = 16033738752.

The previous prime is 56182908083. The next prime is 56182908139. The reversal of 56182908096 is 69080928165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13146216 + ... + 13150488.

Almost surely, 256182908096 is an apocalyptic number.

56182908096 is a gapful number since it is divisible by the number (56) 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 56182908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94490275840).

56182908096 is an abundant number, since it is smaller than the sum of its proper divisors (132797643584).

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

56182908096 is a wasteful number, since it uses less digits than its factorization.

56182908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 56182908096 in words is "fifty-six billion, one hundred eighty-two million, nine hundred eight thousand, ninety-six".