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56371587426 = 232711195234093
BaseRepresentation
bin110100100000000000…
…100010100101100010
312101111122002100102100
4310200000202211202
51410422111244201
641521410431230
74033640405250
oct644000424542
9171448070370
1056371587426
11219a8322a90
12ab12892516
135414b0c7bb
142a2aa295d0
1516ede2c886
hexd20022962

56371587426 has 192 divisors, whose sum is σ = 160636769280. Its totient is φ = 13841435520.

The previous prime is 56371587413. The next prime is 56371587469. The reversal of 56371587426 is 62478517365.

56371587426 is a `hidden beast` number, since 5 + 6 + 37 + 1 + 587 + 4 + 26 = 666.

It is a super-2 number, since 2×563715874262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13770636 + ... + 13774728.

It is an arithmetic number, because the mean of its divisors is an integer number (836649840).

Almost surely, 256371587426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56371587426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80318384640).

56371587426 is an abundant number, since it is smaller than the sum of its proper divisors (104265181854).

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

56371587426 is a wasteful number, since it uses less digits than its factorization.

56371587426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4658 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 56371587426 in words is "fifty-six billion, three hundred seventy-one million, five hundred eighty-seven thousand, four hundred twenty-six".