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55357679520 = 2532511131914149
BaseRepresentation
bin110011100011100100…
…110010011110100000
312021212222020111020200
4303203210302132200
51401333031221040
641233031105200
73666546340443
oct634344623640
9167788214220
1055357679520
1121527a6aa70
12a88b212200
1352b2a430b0
1429720db65a
15168ee00630
hexce39327a0

55357679520 has 576 divisors, whose sum is σ = 233631216000. Its totient is φ = 11734917120.

The previous prime is 55357679483. The next prime is 55357679561. The reversal of 55357679520 is 2597675355.

55357679520 is a `hidden beast` number, since 5 + 5 + 3 + 57 + 67 + 9 + 520 = 666.

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, 3905406 + ... + 3919554.

It is an arithmetic number, because the mean of its divisors is an integer number (405609750).

Almost surely, 255357679520 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 55357679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116815608000).

55357679520 is an abundant number, since it is smaller than the sum of its proper divisors (178273536480).

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

55357679520 is a wasteful number, since it uses less digits than its factorization.

55357679520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213 (or 14202 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 55357679520 in words is "fifty-five billion, three hundred fifty-seven million, six hundred seventy-nine thousand, five hundred twenty".