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129312642069 = 32131497417693
BaseRepresentation
bin111100001101110100…
…0100101010000010101
3110100210000112211210200
41320123220211100111
54104313014021234
6135223322411113
712225326215242
oct1703350452025
9410700484720
10129312642069
114a928684a26
122108a660a99
13c26a670770
14638a0a25c9
15356c83bd99
hex1e1ba25415

129312642069 has 24 divisors (see below), whose sum is σ = 202503046200. Its totient is φ = 79042925952.

The previous prime is 129312642029. The next prime is 129312642071. The reversal of 129312642069 is 960246213921.

129312642069 is a `hidden beast` number, since 12 + 93 + 126 + 420 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 691427025 + 128621215044 = 26295^2 + 358638^2 .

It is not a de Polignac number, because 129312642069 - 211 = 129312640021 is a prime.

It is a super-2 number, since 2×1293126420692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129312642029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691414 + ... + 3726279.

It is an arithmetic number, because the mean of its divisors is an integer number (8437626925).

Almost surely, 2129312642069 is an apocalyptic number.

It is an amenable number.

129312642069 is a deficient number, since it is larger than the sum of its proper divisors (73190404131).

129312642069 is a wasteful number, since it uses less digits than its factorization.

129312642069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417861 (or 7417858 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 129312642069 in words is "one hundred twenty-nine billion, three hundred twelve million, six hundred forty-two thousand, sixty-nine".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 17433 7417693 22253079 66759237 96430009 289290027 867870081 1105236257 3315708771 9947126313 14368071341 43104214023 129312642069