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54694424880144 = 24327228127585329
BaseRepresentation
bin11000110111110100010011…
…10001000010010000010000
321011122201212111202221010100
430123322021301002100100
524132103140232131034
6312154134422332400
714343353556500100
oct1433721161022020
9234581774687110
1054694424880144
1116477858a67285
12617419028a100
13246987b93294a
14d7131d63d200
1564cada515099
hex31be89c42410

54694424880144 has 180 divisors, whose sum is σ = 178692857551260. Its totient is φ = 15571365949440.

The previous prime is 54694424879993. The next prime is 54694424880223. The reversal of 54694424880144 is 44108842449645.

54694424880144 is a `hidden beast` number, since 5 + 4 + 6 + 9 + 4 + 4 + 2 + 488 + 0 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14720266890000 + 39974157990144 = 3836700^2 + 6322512^2 .

It is a super-2 number, since 2×546944248801442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11809929 + ... + 15775400.

It is an arithmetic number, because the mean of its divisors is an integer number (992738097507).

Almost surely, 254694424880144 is an apocalyptic number.

It is an amenable number.

54694424880144 is an abundant number, since it is smaller than the sum of its proper divisors (123998432671116).

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

54694424880144 is a wasteful number, since it uses less digits than its factorization.

54694424880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27585638 (or 27585622 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 54694424880144 in words is "fifty-four trillion, six hundred ninety-four billion, four hundred twenty-four million, eight hundred eighty thousand, one hundred forty-four".