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5368747307040 = 253251317157107453
BaseRepresentation
bin100111000100000001001…
…0001101011000000100000
3201000020200020020012100100
41032020002101223000200
51200430143302311130
615230211331022400
71062610364104215
oct116100221530040
921006606205310
105368747307040
11178a96698a097
127285ba73aa00
132cc369956c80
14147bc4db5b0c
15949c0547c60
hex4e20246b020

5368747307040 has 576 divisors, whose sum is σ = 21024000912096. Its totient is φ = 1235866484736.

The previous prime is 5368747307017. The next prime is 5368747307069. The reversal of 5368747307040 is 407037478635.

5368747307040 is a `hidden beast` number, since 5 + 3 + 68 + 7 + 473 + 0 + 70 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 38245278096 + 5330502028944 = 195564^2 + 2308788^2 .

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 95 ways as a sum of consecutive naturals, for example, 49909954 + ... + 50017406.

Almost surely, 25368747307040 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 5368747307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512000456048).

5368747307040 is an abundant number, since it is smaller than the sum of its proper divisors (15655253605056).

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

5368747307040 is a wasteful number, since it uses less digits than its factorization.

5368747307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107661 (or 107650 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 5368747307040 in words is "five trillion, three hundred sixty-eight billion, seven hundred forty-seven million, three hundred seven thousand, forty".