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55004974609920 = 293517193239257
BaseRepresentation
bin11001000000110110101111…
…11110001111011000000000
321012202102110020212202110220
430200123113332033120000
524202200142000004140
6312552534141023040
714404656355602216
oct1440332776173000
9235672406782426
1055004974609920
111658752a210715
1262043ba854a80
13248cc402c61ba
14d8237d922cb6
15655c13e6ebd0
hex3206d7f8f600

55004974609920 has 1280 divisors, whose sum is σ = 198120262348800. Its totient is φ = 12973183598592.

The previous prime is 55004974609883. The next prime is 55004974609961. The reversal of 55004974609920 is 2990647940055.

55004974609920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214027138432 + ... + 214027138688.

It is an arithmetic number, because the mean of its divisors is an integer number (154781454960).

Almost surely, 255004974609920 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 55004974609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060131174400).

55004974609920 is an abundant number, since it is smaller than the sum of its proper divisors (143115287738880).

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

55004974609920 is a wasteful number, since it uses less digits than its factorization.

55004974609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 55004974609920 in words is "fifty-five trillion, four billion, nine hundred seventy-four million, six hundred nine thousand, nine hundred twenty".