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56139202080 = 253251310728027
BaseRepresentation
bin110100010010001010…
…000011111000100000
312100220102210221122200
4310102022003320200
51404433113431310
641442345533200
74025116226043
oct642212037040
9170812727580
1056139202080
1121899130485
12aa68aa4200
1353a8926890
142a07c16c5a
1516d88279c0
hexd12283e20

56139202080 has 288 divisors, whose sum is σ = 208247143104. Its totient is φ = 13689243648.

The previous prime is 56139202013. The next prime is 56139202081. The reversal of 56139202080 is 8020293165.

56139202080 is a `hidden beast` number, since 5 + 61 + 392 + 0 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×561392020802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56139202081) 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, 1989027 + ... + 2017053.

It is an arithmetic number, because the mean of its divisors is an integer number (723080358).

Almost surely, 256139202080 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 56139202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104123571552).

56139202080 is an abundant number, since it is smaller than the sum of its proper divisors (152107941024).

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

56139202080 is a wasteful number, since it uses less digits than its factorization.

56139202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28168 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 56139202080 in words is "fifty-six billion, one hundred thirty-nine million, two hundred two thousand, eighty".