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56055149568 = 21032112329829
BaseRepresentation
bin110100001101001001…
…011011010000000000
312100200120122122021200
4310031021123100000
51404300104241233
641430144221200
74023045624015
oct641511332000
9170616578250
1056055149568
11218557415a0
12aa4490a800
1353943a7a72
1429da9b770c
1516d1273313
hexd0d25b400

56055149568 has 528 divisors, whose sum is σ = 190832803200. Its totient is φ = 15668674560.

The previous prime is 56055149567. The next prime is 56055149569. The reversal of 56055149568 is 86594155065.

56055149568 is a `hidden beast` number, since 5 + 60 + 5 + 5 + 14 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (56055149567) and next prime (56055149569).

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56055149567) 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 47 ways as a sum of consecutive naturals, for example, 67617378 + ... + 67618206.

Almost surely, 256055149568 is an apocalyptic number.

56055149568 is a gapful number since it is divisible by the number (58) 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 56055149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95416401600).

56055149568 is an abundant number, since it is smaller than the sum of its proper divisors (134777653632).

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

56055149568 is a wasteful number, since it uses less digits than its factorization.

56055149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 56055149568 in words is "fifty-six billion, fifty-five million, one hundred forty-nine thousand, five hundred sixty-eight".