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13463192961 = 32386772
BaseRepresentation
bin11001000100111100…
…00000010110000001
31021202021101001202100
430202132000112001
5210033034133321
610103534541013
7654426152301
oct144236002601
937667331670
1013463192961
115789692159
122738967769
13136733a68a
1491a09d601
1553be49326
hex322780581

13463192961 has 9 divisors (see below), whose sum is σ = 19447337091. Its totient is φ = 8975229912.

The previous prime is 13463192947. The next prime is 13463192989. The reversal of 13463192961 is 16929136431.

The square root of 13463192961 is 116031.

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

13463192961 is a `hidden beast` number, since 1 + 3 + 4 + 631 + 9 + 2 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 431600625 + 13031592336 = 20775^2 + 114156^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13463192961 - 211 = 13463190913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13463192921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 328755 + ... + 367431.

Almost surely, 213463192961 is an apocalyptic number.

13463192961 is the 116031-st square number.

13463192961 is the 58016-th centered octagonal number.

It is an amenable number.

13463192961 is a deficient number, since it is larger than the sum of its proper divisors (5984144130).

13463192961 is an frugal number, since it uses more digits than its factorization.

13463192961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77360 (or 38680 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 13463192961 in words is "thirteen billion, four hundred sixty-three million, one hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 38677 116031 348093 1495910329 4487730987 13463192961