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13096232064 = 2733171012207
BaseRepresentation
bin11000011001001100…
…01010010010000000
31020210200212112001000
430030212022102000
5203310113411224
610003305412000
7642352064406
oct141446122200
936720775030
1013096232064
115610532a93
122655a9a000
1313092c6456
148c3459476
15519b100c9
hex30c98a480

13096232064 has 256 divisors, whose sum is σ = 41349657600. Its totient is φ = 4066099200.

The previous prime is 13096232053. The next prime is 13096232099. The reversal of 13096232064 is 46023269031.

13096232064 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 623 + 20 + 6 + 4 = 666.

It is a super-2 number, since 2×130962320642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5932849 + ... + 5935055.

It is an arithmetic number, because the mean of its divisors is an integer number (161522100).

Almost surely, 213096232064 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 13096232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20674828800).

13096232064 is an abundant number, since it is smaller than the sum of its proper divisors (28253425536).

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

13096232064 is a wasteful number, since it uses less digits than its factorization.

13096232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13096232064 in words is "thirteen billion, ninety-six million, two hundred thirty-two thousand, sixty-four".