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12412008829 = 1159131145991
BaseRepresentation
bin10111000111101000…
…00011100101111101
31012001000101101012201
423203310003211331
5200404433240304
65411344231501
7616403222443
oct134364034575
935030341181
1012412008829
11529a289a40
1224a490b591
13122a61c12c
1485a62ab93
154c9a073a4
hex2e3d0397d

12412008829 has 16 divisors (see below), whose sum is σ = 13875079680. Its totient is φ = 11007646000.

The previous prime is 12412008827. The next prime is 12412008883. The reversal of 12412008829 is 92880021421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12412008829 - 21 = 12412008827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412008827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12024 + ... + 158014.

It is an arithmetic number, because the mean of its divisors is an integer number (867192480).

Almost surely, 212412008829 is an apocalyptic number.

It is an amenable number.

12412008829 is a deficient number, since it is larger than the sum of its proper divisors (1463070851).

12412008829 is a wasteful number, since it uses less digits than its factorization.

12412008829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146192.

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 12412008829 in words is "twelve billion, four hundred twelve million, eight thousand, eight hundred twenty-nine".

Divisors: 1 11 59 131 649 1441 7729 85019 145991 1605901 8613469 19124821 94748159 210373031 1128364439 12412008829