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13000725384 = 23317317100519
BaseRepresentation
bin11000001101110011…
…10101001110001000
31020120001011021111120
430012321311032020
5203111141203014
65550014355240
7640112225313
oct140671651610
936501137446
1013000725384
115571630449
122629abbb20
1312c2596c1a
148b48b797a
15511546ba9
hex306e75388

13000725384 has 64 divisors (see below), whose sum is σ = 34522588800. Its totient is φ = 4065752064.

The previous prime is 13000725377. The next prime is 13000725389. The reversal of 13000725384 is 48352700031.

It is not an unprimeable number, because it can be changed into a prime (13000725389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79077 + ... + 179595.

It is an arithmetic number, because the mean of its divisors is an integer number (539415450).

Almost surely, 213000725384 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 13000725384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261294400).

13000725384 is an abundant number, since it is smaller than the sum of its proper divisors (21521863416).

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

13000725384 is a wasteful number, since it uses less digits than its factorization.

13000725384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100862 (or 100858 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13000725384 in words is "thirteen billion, seven hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 317 408 634 951 1268 1902 2536 3804 5389 7608 10778 16167 21556 32334 43112 64668 100519 129336 201038 301557 402076 603114 804152 1206228 1708823 2412456 3417646 5126469 6835292 10252938 13670584 20505876 31864523 41011752 63729046 95593569 127458092 191187138 254916184 382374276 541696891 764748552 1083393782 1625090673 2166787564 3250181346 4333575128 6500362692 13000725384