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56119869000 = 23325313835779
BaseRepresentation
bin110100010001000000…
…010011111001001000
312100212002102201122200
4310101000103321020
51404413141302000
641440415320200
74024463005266
oct642100237110
9170762381580
1056119869000
1121889226228
12aa62520060
1353a4917ba0
142a05423436
1516d6ca9500
hexd11013e48

56119869000 has 384 divisors, whose sum is σ = 206773257600. Its totient is φ = 13645324800.

The previous prime is 56119868953. The next prime is 56119869053. The reversal of 56119869000 is 96891165.

56119869000 is a `hidden beast` number, since 561 + 1 + 9 + 86 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×561198690002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9708111 + ... + 9713889.

It is an arithmetic number, because the mean of its divisors is an integer number (538472025).

Almost surely, 256119869000 is an apocalyptic number.

56119869000 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 56119869000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103386628800).

56119869000 is an abundant number, since it is smaller than the sum of its proper divisors (150653388600).

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

56119869000 is a wasteful number, since it uses less digits than its factorization.

56119869000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 56119869000 in words is "fifty-six billion, one hundred nineteen million, eight hundred sixty-nine thousand".