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13397136516 = 223210121912
BaseRepresentation
bin11000111101000100…
…00001010010000100
31021120200002001100100
430132202001102010
5204414131332031
610053215044100
7652664532021
oct143642012204
937520061310
1013397136516
115755374a55
12271a810630
13135674cb1a
149113c6548
1553624bde6
hex31e881484

13397136516 has 81 divisors (see below), whose sum is σ = 34383614629. Its totient is φ = 4398348000.

The previous prime is 13397136499. The next prime is 13397136523. The reversal of 13397136516 is 61563179331.

The square root of 13397136516 is 115746.

It is a perfect power (a square), and thus also a powerful number.

13397136516 is a `hidden beast` number, since 1 + 3 + 39 + 71 + 36 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12871810116 + 525326400 = 113454^2 + 22920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70141981 + ... + 70142171.

Almost surely, 213397136516 is an apocalyptic number.

13397136516 is the 115746-th square number.

It is an amenable number.

13397136516 is an abundant number, since it is smaller than the sum of its proper divisors (20986478113).

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

13397136516 is a wasteful number, since it uses less digits than its factorization.

13397136516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 13397136516 in words is "thirteen billion, three hundred ninety-seven million, one hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 101 191 202 303 382 404 573 606 764 909 1146 1212 1719 1818 2292 3438 3636 6876 10201 19291 20402 30603 36481 38582 40804 57873 61206 72962 77164 91809 109443 115746 122412 145924 173619 183618 218886 231492 328329 347238 367236 437772 656658 694476 1313316 1948391 3684581 3896782 5845173 7369162 7793564 11053743 11690346 14738324 17535519 22107486 23380692 33161229 35071038 44214972 66322458 70142076 132644916 372142681 744285362 1116428043 1488570724 2232856086 3349284129 4465712172 6698568258 13397136516