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56929812480 = 21932519127
BaseRepresentation
bin110101000001010010…
…000000000000000000
312102221112111010020100
4311001102000000000
51413043012444410
642053031242400
74053526264452
oct650122000000
9172845433210
1056929812480
1122164438802
12b049819400
1354a366c998
142a80c1a2d2
151732e478c0
hexd41480000

56929812480 has 480 divisors, whose sum is σ = 209379456000. Its totient is φ = 14269022208.

The previous prime is 56929812479. The next prime is 56929812481. The reversal of 56929812480 is 8421892965.

It is a happy number.

56929812480 is a `hidden beast` number, since 5 + 69 + 2 + 98 + 12 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (56929812479) and next prime (56929812481).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (56929812481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448266177 + ... + 448266303.

It is an arithmetic number, because the mean of its divisors is an integer number (436207200).

Almost surely, 256929812480 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 56929812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689728000).

56929812480 is an abundant number, since it is smaller than the sum of its proper divisors (152449643520).

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

56929812480 is an equidigital number, since it uses as much as digits as its factorization.

56929812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 56929812480 in words is "fifty-six billion, nine hundred twenty-nine million, eight hundred twelve thousand, four hundred eighty".