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13207295929 = 41228032
BaseRepresentation
bin11000100110011011…
…10101011110111001
31021002102212011000111
430103031311132321
5204022031432204
610022314104321
7645201106642
oct142315653671
937072764014
1013207295929
1156681a0a03
12268711b0a1
131326311b09
148d40ca6c9
1552474cd04
hex3133757b9

13207295929 has 9 divisors (see below), whose sum is σ = 13542113199. Its totient is φ = 12880569840.

The previous prime is 13207295909. The next prime is 13207295947. The reversal of 13207295929 is 92959270231.

The square root of 13207295929 is 114923.

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

It can be written as a sum of positive squares in only one way, i.e., 636401529 + 12570894400 = 25227^2 + 112120^2 .

It is not a de Polignac number, because 13207295929 - 211 = 13207293881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13207295909) 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, 4710442 + ... + 4713244.

Almost surely, 213207295929 is an apocalyptic number.

13207295929 is the 114923-rd square number.

13207295929 is the 57462-nd centered octagonal number.

It is an amenable number.

13207295929 is a deficient number, since it is larger than the sum of its proper divisors (334817270).

13207295929 is an frugal number, since it uses more digits than its factorization.

13207295929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 13207295929 by its sum of digits (49), we get a square (647157500521 = 8044612).

It can be divided in two parts, 13207 and 295929, that added together give a square (309136 = 5562).

The spelling of 13207295929 in words is "thirteen billion, two hundred seven million, two hundred ninety-five thousand, nine hundred twenty-nine".

Divisors: 1 41 1681 2803 114923 4711843 7856809 322129169 13207295929