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13285149696 = 2103272133173
BaseRepresentation
bin11000101111101101…
…10100110000000000
31021021212100112022100
430113312310300000
5204201444242241
610034134510400
7650134623600
oct142766646000
937255315270
1013285149696
1156a8136665
1226a9205400
1313394a0330
14900594c00
1552b4ca9b6
hex317db4c00

13285149696 has 792 divisors, whose sum is σ = 50285848704. Its totient is φ = 3344302080.

The previous prime is 13285149659. The next prime is 13285149743. The reversal of 13285149696 is 69694158231.

13285149696 is a `hidden beast` number, since 1 + 32 + 8 + 514 + 9 + 6 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181988316 + ... + 181988388.

Almost surely, 213285149696 is an apocalyptic number.

13285149696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142924352).

13285149696 is an abundant number, since it is smaller than the sum of its proper divisors (37000699008).

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

13285149696 is a wasteful number, since it uses less digits than its factorization.

13285149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 13285149696 in words is "thirteen billion, two hundred eighty-five million, one hundred forty-nine thousand, six hundred ninety-six".