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13259942136 = 2333722943201
BaseRepresentation
bin11000101100101101…
…01010100011111000
31021020002220212001000
430112112222203320
5204124021122021
610031434325000
7646410435300
oct142626524370
937202825030
1013259942136
115694989871
1226a0889760
1313341b580c
148db0b2600
1552919bb26
hex3165aa8f8

13259942136 has 192 divisors, whose sum is σ = 44325252000. Its totient is φ = 3657830400.

The previous prime is 13259942099. The next prime is 13259942191. The reversal of 13259942136 is 63124995231.

13259942136 is a `hidden beast` number, since 1 + 3 + 2 + 599 + 4 + 21 + 36 = 666.

13259942136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13259942091 and 13259942100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 285336 + ... + 328536.

Almost surely, 213259942136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13259942136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22162626000).

13259942136 is an abundant number, since it is smaller than the sum of its proper divisors (31065309864).

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

13259942136 is a wasteful number, since it uses less digits than its factorization.

13259942136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43259 (or 43242 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 13259942136 in words is "thirteen billion, two hundred fifty-nine million, nine hundred forty-two thousand, one hundred thirty-six".