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5108073062400 = 21335527113143
BaseRepresentation
bin100101001010101000011…
…1000010110000000000000
3200002022211101122112100000
41022111100320112000000
51132142313200444100
614510341045200000
71035021545430540
oct112252070260000
920068741575300
105108073062400
11169a35a092960
126a5b8b400000
132b08c62b84b9
14139336a8d320
158cd15589900
hex4a550e16000

5108073062400 has 4032 divisors, whose sum is σ = 24987936669696. Its totient is φ = 1003290624000.

The previous prime is 5108073062387. The next prime is 5108073062413. The reversal of 5108073062400 is 42603708015.

5108073062400 is a `hidden beast` number, since 5 + 108 + 0 + 7 + 306 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5108073062387) and next prime (5108073062413).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118792396779 + ... + 118792396821.

It is an arithmetic number, because the mean of its divisors is an integer number (6197404928).

Almost surely, 25108073062400 is an apocalyptic number.

5108073062400 is a gapful number since it is divisible by the number (50) 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 5108073062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493968334848).

5108073062400 is an abundant number, since it is smaller than the sum of its proper divisors (19879863607296).

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

5108073062400 is a wasteful number, since it uses less digits than its factorization.

5108073062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5108073062400 in words is "five trillion, one hundred eight billion, seventy-three million, sixty-two thousand, four hundred".