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55088524638720 = 293351801442531
BaseRepresentation
bin11001000011010010010111…
…11100010011101000000000
321020001102002222222222111000
430201221023330103220000
524210032244301414340
6313055152512052000
714414004665251056
oct1441511374235000
9236042088888430
1055088524638720
1116609a040049a1
126218637534000
132497a96a62b71
14d86427d601d6
15657ea3e2dd30
hex321a4bf13a00

55088524638720 has 320 divisors, whose sum is σ = 195788122865280. Its totient is φ = 14682083328000.

The previous prime is 55088524638709. The next prime is 55088524638731. The reversal of 55088524638720 is 2783642588055.

55088524638720 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 8 + 5 + 246 + 387 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55088524638709) and next prime (55088524638731).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124263855 + ... + 124706385.

It is an arithmetic number, because the mean of its divisors is an integer number (611837883954).

Almost surely, 255088524638720 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 55088524638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97894061432640).

55088524638720 is an abundant number, since it is smaller than the sum of its proper divisors (140699598226560).

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

55088524638720 is a wasteful number, since it uses less digits than its factorization.

55088524638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444364 (or 444342 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 55088524638720 in words is "fifty-five trillion, eighty-eight billion, five hundred twenty-four million, six hundred thirty-eight thousand, seven hundred twenty".