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13839099264 = 2733231511153
BaseRepresentation
bin11001110001101111…
…11110010110000000
31022201110201002021000
430320313332112000
5211320302134024
610205123532000
7666642255114
oct147067762600
938643632230
1013839099264
1159618a1121
12282282a000
1313c7194443
14953d91744
1555ee4dcc9
hex338dfe580

13839099264 has 256 divisors, whose sum is σ = 42939878400. Its totient is φ = 4379443200.

The previous prime is 13839099223. The next prime is 13839099283. The reversal of 13839099264 is 46299093831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13839099264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12002112 + ... + 12003264.

It is an arithmetic number, because the mean of its divisors is an integer number (167733900).

Almost surely, 213839099264 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 13839099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469939200).

13839099264 is an abundant number, since it is smaller than the sum of its proper divisors (29100779136).

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

13839099264 is a wasteful number, since it uses less digits than its factorization.

13839099264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13839099264 in words is "thirteen billion, eight hundred thirty-nine million, ninety-nine thousand, two hundred sixty-four".