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13094924544 = 2832135373113
BaseRepresentation
bin11000011001000010…
…01011000100000000
31020210121102002110100
430030201023010000
5203304300041134
610003221402400
7642335010402
oct141441130400
936717362410
1013094924544
11560a81a699
122655569400
131308c59280
148c31d8b72
15519952999
hex30c84b100

13094924544 has 432 divisors, whose sum is σ = 42366503088. Its totient is φ = 3864526848.

The previous prime is 13094924539. The next prime is 13094924587. The reversal of 13094924544 is 44542949031.

13094924544 is a `hidden beast` number, since 13 + 0 + 9 + 4 + 92 + 4 + 544 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1739890944 + 11355033600 = 41712^2 + 106560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13094924544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115884232 + ... + 115884344.

It is an arithmetic number, because the mean of its divisors is an integer number (98070609).

Almost surely, 213094924544 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 13094924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183251544).

13094924544 is an abundant number, since it is smaller than the sum of its proper divisors (29271578544).

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

13094924544 is a wasteful number, since it uses less digits than its factorization.

13094924544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13094924544 in words is "thirteen billion, ninety-four million, nine hundred twenty-four thousand, five hundred forty-four".