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5159602685952 = 21136112134
BaseRepresentation
bin100101100010101000001…
…0010010000100000000000
3200021020211120201122000000
41023011100102100200000
51134013331241422302
614550142212000000
71041524523131301
oct113052022204000
920236746648000
105159602685952
11170a1a2229800
126b3b70600000
132b5718c20000
1413ba245d47a8
158e32e37b31c
hex4b150490800

5159602685952 has 1260 divisors, whose sum is σ = 18418745827755. Its totient is φ = 1443245506560.

The previous prime is 5159602685927. The next prime is 5159602685953. The reversal of 5159602685952 is 2595862069515.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5159602685952 is a `hidden beast` number, since 5 + 15 + 9 + 6 + 0 + 26 + 8 + 595 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 90326016 + 5159512359936 = 9504^2 + 2271456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1606176.

It is a self number, because there is not a number n which added to its sum of digits gives 5159602685952.

It is not an unprimeable number, because it can be changed into a prime (5159602685953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 396892514298 + ... + 396892514310.

Almost surely, 25159602685952 is an apocalyptic number.

5159602685952 is a gapful number since it is divisible by the number (52) 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 5159602685952

5159602685952 is an abundant number, since it is smaller than the sum of its proper divisors (13259143141803).

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

5159602685952 is an frugal number, since it uses more digits than its factorization.

5159602685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 5159602685952 in words is "five trillion, one hundred fifty-nine billion, six hundred two million, six hundred eighty-five thousand, nine hundred fifty-two".