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13093826256 = 2434724147107
BaseRepresentation
bin11000011000111001…
…11110111011010000
31020210112100021220000
430030130332323100
5203304004420011
610003142050000
7642322454400
oct141434767320
936715307800
1013093826256
11560a13a515
122655119900
1313089633b4
148c2dd0800
155197d7356
hex30c73eed0

13093826256 has 600 divisors, whose sum is σ = 46551770496. Its totient is φ = 3538805760.

The previous prime is 13093826183. The next prime is 13093826257. The reversal of 13093826256 is 65262839031.

13093826256 is a `hidden beast` number, since 1 + 309 + 38 + 262 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13093826257) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122372155 + ... + 122372261.

Almost surely, 213093826256 is an apocalyptic number.

13093826256 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 13093826256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275885248).

13093826256 is an abundant number, since it is smaller than the sum of its proper divisors (33457944240).

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

13093826256 is a wasteful number, since it uses less digits than its factorization.

13093826256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13093826256 in words is "thirteen billion, ninety-three million, eight hundred twenty-six thousand, two hundred fifty-six".