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13366057536 = 26361322037
BaseRepresentation
bin11000111001010110…
…11101101001000000
31021111111121002000000
430130223131221000
5204333202320121
610050145000000
7652136420526
oct143453355100
937444532000
1013366057536
115739877947
122710323000
13135018a9b0
1490b216316
1553365d526
hex31cadda40

13366057536 has 196 divisors, whose sum is σ = 42827635452. Its totient is φ = 4112446464.

The previous prime is 13366057519. The next prime is 13366057559. The reversal of 13366057536 is 63575066331.

13366057536 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 60 + 57 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1702057536 + 11664000000 = 41256^2 + 108000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13366057491 and 13366057500.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 595510 + ... + 617546.

Almost surely, 213366057536 is an apocalyptic number.

13366057536 is a gapful number since it is divisible by the number (16) 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 13366057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413817726).

13366057536 is an abundant number, since it is smaller than the sum of its proper divisors (29461577916).

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

13366057536 is an equidigital number, since it uses as much as digits as its factorization.

13366057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22080 (or 22055 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 13366057536 in words is "thirteen billion, three hundred sixty-six million, fifty-seven thousand, five hundred thirty-six".