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13240289736 = 2332417361441
BaseRepresentation
bin11000101010010111…
…01100100111001000
31021011201221102000100
430111023230213020
5204104003232421
610025453205400
7646051414542
oct142513544710
937151842010
1013240289736
115684886713
122696190860
1313300c468b
148d8638692
155275b8c26
hex3152ec9c8

13240289736 has 96 divisors (see below), whose sum is σ = 37237538520. Its totient is φ = 4246732800.

The previous prime is 13240289723. The next prime is 13240289743. The reversal of 13240289736 is 63798204231.

13240289736 is a `hidden beast` number, since 132 + 402 + 89 + 7 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7991287236 + 5249002500 = 89394^2 + 72450^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13240289691 and 13240289700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184776 + ... + 246216.

Almost surely, 213240289736 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 13240289736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618769260).

13240289736 is an abundant number, since it is smaller than the sum of its proper divisors (23997248784).

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

13240289736 is a wasteful number, since it uses less digits than its factorization.

13240289736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61567 (or 61560 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13240289736 in words is "thirteen billion, two hundred forty million, two hundred eighty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 73 82 123 146 164 219 246 292 328 369 438 492 584 657 738 876 984 1314 1476 1752 2628 2952 2993 5256 5986 8979 11972 17958 23944 26937 35916 53874 61441 71832 107748 122882 184323 215496 245764 368646 491528 552969 737292 1105938 1474584 2211876 2519081 4423752 4485193 5038162 7557243 8970386 10076324 13455579 15114486 17940772 20152648 22671729 26911158 30228972 35881544 40366737 45343458 53822316 60457944 80733474 90686916 107644632 161466948 181373832 183892913 322933896 367785826 551678739 735571652 1103357478 1471143304 1655036217 2206714956 3310072434 4413429912 6620144868 13240289736