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13640566536 = 233426380039
BaseRepresentation
bin11001011010000101…
…01000011100001000
31022012122010120120000
430231002220130020
5210413441112121
610133312403000
7662011621362
oct145502503410
938178116500
1013640566536
11586a820593
122788246460
131395001c5c
14935871d32
1554c7d4526
hex32d0a8708

13640566536 has 80 divisors (see below), whose sum is σ = 38351966400. Its totient is φ = 4529510496.

The previous prime is 13640566481. The next prime is 13640566543. The reversal of 13640566536 is 63566504631.

13640566536 is a `hidden beast` number, since 1 + 3 + 64 + 0 + 56 + 6 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13640566491 and 13640566500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130405 + ... + 210443.

It is an arithmetic number, because the mean of its divisors is an integer number (479399580).

Almost surely, 213640566536 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 13640566536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175983200).

13640566536 is an abundant number, since it is smaller than the sum of its proper divisors (24711399864).

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

13640566536 is a wasteful number, since it uses less digits than its factorization.

13640566536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80320 (or 80307 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 13640566536 in words is "thirteen billion, six hundred forty million, five hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 526 648 789 1052 1578 2104 2367 3156 4734 6312 7101 9468 14202 18936 21303 28404 42606 56808 80039 85212 160078 170424 240117 320156 480234 640312 720351 960468 1440702 1920936 2161053 2881404 4322106 5762808 6483159 8644212 12966318 17288424 21050257 25932636 42100514 51865272 63150771 84201028 126301542 168402056 189452313 252603084 378904626 505206168 568356939 757809252 1136713878 1515618504 1705070817 2273427756 3410141634 4546855512 6820283268 13640566536