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5104348632 = 2332197379647
BaseRepresentation
bin1001100000011111…
…00010110111011000
3111011201201202222100
410300033202313120
540423203124012
62202255523400
7240330150615
oct46017426730
914151652870
105104348632
11218a2a9749
12ba5529560
13634665846
14365ca550c
151ed1b98dc
hex1303e2dd8

5104348632 has 192 divisors, whose sum is σ = 14961024000. Its totient is φ = 1567268352.

The previous prime is 5104348631. The next prime is 5104348637. The reversal of 5104348632 is 2368434015.

5104348632 is a `hidden beast` number, since 5 + 10 + 4 + 3 + 4 + 8 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104348631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7888933 + ... + 7889579.

It is an arithmetic number, because the mean of its divisors is an integer number (77922000).

Almost surely, 25104348632 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 5104348632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480512000).

5104348632 is an abundant number, since it is smaller than the sum of its proper divisors (9856675368).

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

5104348632 is a wasteful number, since it uses less digits than its factorization.

5104348632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5104348632 is about 71444.7243118762. The cubic root of 5104348632 is about 1721.7897172272.

The spelling of 5104348632 in words is "five billion, one hundred four million, three hundred forty-eight thousand, six hundred thirty-two".