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13195976769 = 321818100661
BaseRepresentation
bin11000100101000101…
…01010000001000001
31021001122120002001100
430102202222001001
5204011132224034
610021231325013
7645002644323
oct142242520101
937048502040
1013195976769
11566186a728
122683380769
131323b7a9a1
148d27c1613
15523764099
hex3128aa041

13195976769 has 12 divisors (see below), whose sum is σ = 19166166292. Its totient is φ = 8748712800.

The previous prime is 13195976753. The next prime is 13195976771. The reversal of 13195976769 is 96767959131.

13195976769 is a `hidden beast` number, since 1 + 31 + 9 + 597 + 6 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1690196544 + 11505780225 = 41112^2 + 107265^2 .

It is not a de Polignac number, because 13195976769 - 24 = 13195976753 is a prime.

It is a super-2 number, since 2×131959767692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13195976789) 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 11 ways as a sum of consecutive naturals, for example, 4048702 + ... + 4051959.

Almost surely, 213195976769 is an apocalyptic number.

It is an amenable number.

13195976769 is a deficient number, since it is larger than the sum of its proper divisors (5970189523).

13195976769 is a wasteful number, since it uses less digits than its factorization.

13195976769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100848 (or 8100845 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 63.

The spelling of 13195976769 in words is "thirteen billion, one hundred ninety-five million, nine hundred seventy-six thousand, seven hundred sixty-nine".

Divisors: 1 3 9 181 543 1629 8100661 24301983 72905949 1466219641 4398658923 13195976769