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12641000523 = 3192232693697
BaseRepresentation
bin10111100010111011…
…00101110001001011
31012121222021100202120
423301131211301023
5201342044004043
65450204302323
7625153505634
oct136135456113
935558240676
1012641000523
1153a7573878
1225495419a3
131265bb7488
1487cbd888b
154deb8b983
hex2f1765c4b

12641000523 has 32 divisors (see below), whose sum is σ = 17892403200. Its totient is φ = 7916299776.

The previous prime is 12641000509. The next prime is 12641000563. The reversal of 12641000523 is 32500014621.

It is not a de Polignac number, because 12641000523 - 24 = 12641000507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12641000493 and 12641000502.

It is not an unprimeable number, because it can be changed into a prime (12641000503) 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 31 ways as a sum of consecutive naturals, for example, 3417411 + ... + 3421107.

It is an arithmetic number, because the mean of its divisors is an integer number (559137600).

Almost surely, 212641000523 is an apocalyptic number.

12641000523 is a deficient number, since it is larger than the sum of its proper divisors (5251402677).

12641000523 is a wasteful number, since it uses less digits than its factorization.

12641000523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12641000523 in words is "twelve billion, six hundred forty-one million, five hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 19 57 223 269 669 807 3697 4237 5111 11091 12711 15333 59987 70243 179961 210729 824431 994493 1139753 2473293 2983479 3419259 15664189 18895367 46992567 56686101 221771939 665315817 4213666841 12641000523