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5663812152096 = 25347335318047
BaseRepresentation
bin101001001101011010110…
…0000101110101100100000
3202001110021210210101020000
41102122311200232230200
51220243441402331341
620013530330420000
71123124354646000
oct122326540565440
922043253711200
105663812152096
11189401133943a
12775827291600
133211311ac347
141581b68d6000
159c4de80d8b6
hex526b582eb20

5663812152096 has 480 divisors, whose sum is σ = 19481314406400. Its totient is φ = 1613558403072.

The previous prime is 5663812152073. The next prime is 5663812152133. The reversal of 5663812152096 is 6902512183665.

5663812152096 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 8 + 1 + 21 + 520 + 96 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 313827745 + ... + 313845791.

It is an arithmetic number, because the mean of its divisors is an integer number (40586071680).

Almost surely, 25663812152096 is an apocalyptic number.

5663812152096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5663812152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9740657203200).

5663812152096 is an abundant number, since it is smaller than the sum of its proper divisors (13817502254304).

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

5663812152096 is a wasteful number, since it uses less digits than its factorization.

5663812152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5663812152096 in words is "five trillion, six hundred sixty-three billion, eight hundred twelve million, one hundred fifty-two thousand, ninety-six".