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55856387600832 = 26372131925319497
BaseRepresentation
bin11001011001101000101000…
…01001000011000111000000
321022202211002200122001020010
430230310110021003013000
524310122340211211312
6314444023100144520
714523330232610100
oct1454642411030700
9238684080561203
1055856387600832
111688561969a445
126321413238140
13252230898c090
14db166c10d200
1566ce45bb593c
hex32cd142431c0

55856387600832 has 672 divisors, whose sum is σ = 194981077428480. Its totient is φ = 13949037527040.

The previous prime is 55856387600779. The next prime is 55856387600857. The reversal of 55856387600832 is 23800678365855.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×558563876008323 (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5881472308 + ... + 5881481804.

It is an arithmetic number, because the mean of its divisors is an integer number (290150412840).

Almost surely, 255856387600832 is an apocalyptic number.

55856387600832 is a gapful number since it is divisible by the number (52) 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 55856387600832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97490538714240).

55856387600832 is an abundant number, since it is smaller than the sum of its proper divisors (139124689827648).

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

55856387600832 is a wasteful number, since it uses less digits than its factorization.

55856387600832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 66.

The spelling of 55856387600832 in words is "fifty-five trillion, eight hundred fifty-six billion, three hundred eighty-seven million, six hundred thousand, eight hundred thirty-two".