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54863640576 = 211341632029
BaseRepresentation
bin110011000110001000…
…001011100000000000
312020121112121201020000
4303012020023200000
51344330042444301
641112022120000
73651400151613
oct630610134000
9166545551200
1054863640576
11212a4105218
12a771880000
135234597364
14292665817a
151661863786
hexcc620b800

54863640576 has 240 divisors, whose sum is σ = 164960195400. Its totient is φ = 18166726656.

The previous prime is 54863640563. The next prime is 54863640581. The reversal of 54863640576 is 67504636845.

54863640576 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 3 + 64 + 0 + 576 = 666.

It is a super-2 number, since 2×548636405762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27038730 + ... + 27040758.

Almost surely, 254863640576 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 54863640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82480097700).

54863640576 is an abundant number, since it is smaller than the sum of its proper divisors (110096554824).

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

54863640576 is a wasteful number, since it uses less digits than its factorization.

54863640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 54863640576 in words is "fifty-four billion, eight hundred sixty-three million, six hundred forty thousand, five hundred seventy-six".