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13067635217 = 721320514341
BaseRepresentation
bin11000010101110010…
…00100101000010001
31020201201001122112112
430022321010220101
5203230303311332
610000404435105
7641554031600
oct141271045021
936651048475
1013067635217
1155a638082a
1226483a8a95
1313033c3040
148bd733a37
15517361db2
hex30ae44a11

13067635217 has 12 divisors (see below), whose sum is σ = 16370444916. Its totient is φ = 10339227360.

The previous prime is 13067635213. The next prime is 13067635261. The reversal of 13067635217 is 71253676031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8913059281 + 4154575936 = 94409^2 + 64456^2 .

It is not a de Polignac number, because 13067635217 - 22 = 13067635213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13067635211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10256534 + ... + 10257807.

It is an arithmetic number, because the mean of its divisors is an integer number (1364203743).

Almost surely, 213067635217 is an apocalyptic number.

It is an amenable number.

13067635217 is a deficient number, since it is larger than the sum of its proper divisors (3302809699).

13067635217 is a wasteful number, since it uses less digits than its factorization.

13067635217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514368 (or 20514361 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 13067635217 in words is "thirteen billion, sixty-seven million, six hundred thirty-five thousand, two hundred seventeen".

Divisors: 1 7 13 49 91 637 20514341 143600387 266686433 1005202709 1866805031 13067635217