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55713922560 = 293254158979
BaseRepresentation
bin110011111000110011…
…101111111000000000
312022210210120111211100
4303320303233320000
51403100231010220
641332234414400
74011433346052
oct637063577000
9168723514740
1055713922560
11216a00696aa
12a96a591400
13533b7a3aaa
1429a75518d2
1516b131dd90
hexcf8cefe00

55713922560 has 240 divisors, whose sum is σ = 197662505040. Its totient is φ = 14494433280.

The previous prime is 55713922549. The next prime is 55713922597. The reversal of 55713922560 is 6522931755.

55713922560 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 392 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 915151 + ... + 974129.

It is an arithmetic number, because the mean of its divisors is an integer number (823593771).

Almost surely, 255713922560 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 55713922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98831252520).

55713922560 is an abundant number, since it is smaller than the sum of its proper divisors (141948582480).

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

55713922560 is a wasteful number, since it uses less digits than its factorization.

55713922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59049 (or 59030 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 55713922560 in words is "fifty-five billion, seven hundred thirteen million, nine hundred twenty-two thousand, five hundred sixty".