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5115191213952 = 2732193147160397
BaseRepresentation
bin100101001101111100100…
…1001111011111110000000
3200010000012110201002120200
41022123321021323332000
51132301402422321302
614513515244005200
71035363130632141
oct112337111737600
920100173632520
105115191213952
1116a23820a6536
126a7437230800
132b148bc1bbb1
141398101a3ac8
158d0d044181c
hex4a6f927bf80

5115191213952 has 384 divisors, whose sum is σ = 16334419046400. Its totient is φ = 1529946869760.

The previous prime is 5115191213939. The next prime is 5115191214011. The reversal of 5115191213952 is 2593121915115.

5115191213952 is a `hidden beast` number, since 5 + 1 + 1 + 519 + 121 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5115191213898 and 5115191213907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31810618 + ... + 31971014.

It is an arithmetic number, because the mean of its divisors is an integer number (42537549600).

Almost surely, 25115191213952 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 5115191213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167209523200).

5115191213952 is an abundant number, since it is smaller than the sum of its proper divisors (11219227832448).

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

5115191213952 is a wasteful number, since it uses less digits than its factorization.

5115191213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160514 (or 160499 counting only the distinct ones).

The product of its digits is 121500, while the sum is 45.

The spelling of 5115191213952 in words is "five trillion, one hundred fifteen billion, one hundred ninety-one million, two hundred thirteen thousand, nine hundred fifty-two".