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56611364000 = 2553291393511
BaseRepresentation
bin110100101110010011…
…001101110010100000
312102010100021021001012
4310232103031302200
51411420002122000
642001254000052
74042611440312
oct645623156240
9172110237035
1056611364000
1122010703744
12ab7b046028
1354526b2a29
142a508037b2
151714ee2735
hexd2e4cdca0

56611364000 has 192 divisors, whose sum is σ = 144966931200. Its totient is φ = 21700224000.

The previous prime is 56611363999. The next prime is 56611364003. The reversal of 56611364000 is 46311665.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56611364003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16122245 + ... + 16125755.

It is an arithmetic number, because the mean of its divisors is an integer number (755036100).

Almost surely, 256611364000 is an apocalyptic number.

56611364000 is a gapful number since it is divisible by the number (50) 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 56611364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72483465600).

56611364000 is an abundant number, since it is smaller than the sum of its proper divisors (88355567200).

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

56611364000 is a wasteful number, since it uses less digits than its factorization.

56611364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 56611364000 its reverse (46311665), we get a palindrome (56657675665).

The spelling of 56611364000 in words is "fifty-six billion, six hundred eleven million, three hundred sixty-four thousand".