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56922022080 = 26335721117719
BaseRepresentation
bin110101000000110100…
…010010000011000000
312102220222211022211000
4311000310102003000
51413034014201310
642052152252000
74053403130100
oct650064220300
9172828738730
1056922022080
112215aaa7760
12b0470a1000
1354a1b72a91
142a7db8d200
1517324094c0
hexd40d120c0

56922022080 has 1344 divisors, whose sum is σ = 270194227200. Its totient is φ = 11116707840.

The previous prime is 56922022067. The next prime is 56922022099. The reversal of 56922022080 is 8022022965.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79167961 + ... + 79168679.

Almost surely, 256922022080 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 56922022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135097113600).

56922022080 is an abundant number, since it is smaller than the sum of its proper divisors (213272205120).

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

56922022080 is a wasteful number, since it uses less digits than its factorization.

56922022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 764 counting only the distinct ones).

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

The spelling of 56922022080 in words is "fifty-six billion, nine hundred twenty-two million, twenty-two thousand, eighty".