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56009862921432 = 233727389101181401
BaseRepresentation
bin11001011110000110011111…
…11110111011110011011000
321100022111020122112010201110
430233003033332323303120
524320131144401441212
6315042324213020320
714540402421402300
oct1457031776736330
9240274218463643
1056009862921432
1116934716499382
1263471059246a0
132533927246854
14db8c6b276600
15671e29929a3c
hex32f0cffbbcd8

56009862921432 has 768 divisors, whose sum is σ = 169980048201600. Its totient is φ = 15328051200000.

The previous prime is 56009862921431. The next prime is 56009862921433. The reversal of 56009862921432 is 23412926890065.

It is an interprime number because it is at equal distance from previous prime (56009862921431) and next prime (56009862921433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56009862921431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139675468432 + ... + 139675468832.

Almost surely, 256009862921432 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 56009862921432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84990024100800).

56009862921432 is an abundant number, since it is smaller than the sum of its proper divisors (113970185280168).

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

56009862921432 is a wasteful number, since it uses less digits than its factorization.

56009862921432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 56009862921432 in words is "fifty-six trillion, nine billion, eight hundred sixty-two million, nine hundred twenty-one thousand, four hundred thirty-two".