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56999448576 = 212397101
BaseRepresentation
bin110101000101011011…
…101001000000000000
312110010101112000000000
4311011123221000000
51413213324323301
642104000000000
74055333214240
oct650533510000
9173111460000
1056999448576
112219a7803a4
12b069000000
1354b4c11985
142a8a185b20
151739100786
hexd456e9000

56999448576 has 520 divisors, whose sum is σ = 197334164544. Its totient is φ = 16124313600.

The previous prime is 56999448509. The next prime is 56999448577. The reversal of 56999448576 is 67584499965.

56999448576 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 9 + 4 + 48 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56999448577) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 564350926 + ... + 564351026.

Almost surely, 256999448576 is an apocalyptic number.

56999448576 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 56999448576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98667082272).

56999448576 is an abundant number, since it is smaller than the sum of its proper divisors (140334715968).

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

56999448576 is an frugal number, since it uses more digits than its factorization.

56999448576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 56999448576 in words is "fifty-six billion, nine hundred ninety-nine million, four hundred forty-eight thousand, five hundred seventy-six".