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12641516429 = 411013052769
BaseRepresentation
bin10111100010111111…
…00011101110001101
31012122000020120110012
423301133203232031
5201342212011204
65450223323005
7625161055013
oct136137435615
935560216405
1012641516429
1153a7896443
122549750465
131266038249
1487ccd08b3
154dec3e76e
hex2f17e3b8d

12641516429 has 8 divisors (see below), whose sum is σ = 13078066680. Its totient is φ = 12211072000.

The previous prime is 12641516413. The next prime is 12641516431. The reversal of 12641516429 is 92461514621.

It can be written as a sum of positive squares in 4 ways, for example, as 5823216100 + 6818300329 = 76310^2 + 82573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12641516429 - 24 = 12641516413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641516729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522244 + ... + 1530525.

It is an arithmetic number, because the mean of its divisors is an integer number (1634758335).

Almost surely, 212641516429 is an apocalyptic number.

It is an amenable number.

12641516429 is a deficient number, since it is larger than the sum of its proper divisors (436550251).

12641516429 is a wasteful number, since it uses less digits than its factorization.

12641516429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052911.

The product of its digits is 103680, while the sum is 41.

The spelling of 12641516429 in words is "twelve billion, six hundred forty-one million, five hundred sixteen thousand, four hundred twenty-nine".

Divisors: 1 41 101 4141 3052769 125163529 308329669 12641516429