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5123318923800 = 233252711172174399
BaseRepresentation
bin100101010001101110110…
…0110101100001000011000
3200010210011220102112110100
41022203131212230020120
51132420024121030200
614521341545015400
71036101422214210
oct112433546541030
920123156375410
105123318923800
1116a5872a71210
126a8b25184560
132b2185a5826c
14139d817d3240
158d408c66d00
hex4a8dd9ac218

5123318923800 has 576 divisors, whose sum is σ = 22713260544000. Its totient is φ = 1001962598400.

The previous prime is 5123318923759. The next prime is 5123318923813. The reversal of 5123318923800 is 83298133215.

5123318923800 is a `hidden beast` number, since 5 + 1 + 2 + 331 + 89 + 238 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1269001 + ... + 3443399.

It is an arithmetic number, because the mean of its divisors is an integer number (39432744000).

Almost surely, 25123318923800 is an apocalyptic number.

5123318923800 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 5123318923800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356630272000).

5123318923800 is an abundant number, since it is smaller than the sum of its proper divisors (17589941620200).

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

5123318923800 is a wasteful number, since it uses less digits than its factorization.

5123318923800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174456 (or 2174444 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5123318923800 in words is "five trillion, one hundred twenty-three billion, three hundred eighteen million, nine hundred twenty-three thousand, eight hundred".