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13331935296 = 26321722832
BaseRepresentation
bin11000110101010010…
…10011000001000000
31021102010101111002100
430122221103001000
5204300433412141
610042525350400
7651243403011
oct143251230100
937363344070
1013331935296
115721591349
122700a08400
1313460a1614
14906893008
1553066d0b6
hex31aa53040

13331935296 has 189 divisors, whose sum is σ = 40737617661. Its totient is φ = 4167788544.

The previous prime is 13331935261. The next prime is 13331935307. The reversal of 13331935296 is 69253913331.

The square root of 13331935296 is 115464.

It is a perfect power (a square), and thus also a powerful number.

13331935296 is a `hidden beast` number, since 1 + 3 + 3 + 31 + 93 + 529 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10379534400 + 2952400896 = 101880^2 + 54336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47109171 + ... + 47109453.

Almost surely, 213331935296 is an apocalyptic number.

13331935296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13331935296 is the 115464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331935296

13331935296 is an abundant number, since it is smaller than the sum of its proper divisors (27405682365).

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

13331935296 is an equidigital number, since it uses as much as digits as its factorization.

13331935296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 305 counting only the distinct ones).

The product of its digits is 393660, while the sum is 45.

The spelling of 13331935296 in words is "thirteen billion, three hundred thirty-one million, nine hundred thirty-five thousand, two hundred ninety-six".