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13129387506 = 232729410417
BaseRepresentation
bin11000011101001001…
…01000110111110010
31020220000020222202100
430032210220313302
5203342110400011
610010452201230
7643233644454
oct141644506762
936800228670
1013129387506
115628219184
122665009216
131313134761
148c7a0a2d4
1551c9add56
hex30e928df2

13129387506 has 12 divisors (see below), whose sum is σ = 28447006302. Its totient is φ = 4376462496.

The previous prime is 13129387457. The next prime is 13129387549. The reversal of 13129387506 is 60578392131.

13129387506 is a `hidden beast` number, since 13 + 129 + 3 + 8 + 7 + 506 = 666.

13129387506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8325650025 + 4803737481 = 91245^2 + 69309^2 .

It is a super-5 number, since 5×131293875065 (a number of 52 digits) contains 55555 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 364705191 + ... + 364705226.

Almost surely, 213129387506 is an apocalyptic number.

13129387506 is an abundant number, since it is smaller than the sum of its proper divisors (15317618796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13129387506 is a wasteful number, since it uses less digits than its factorization.

13129387506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729410425 (or 729410422 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13129387506 in words is "thirteen billion, one hundred twenty-nine million, three hundred eighty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 18 729410417 1458820834 2188231251 4376462502 6564693753 13129387506