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13660505652 = 22317191350593
BaseRepresentation
bin11001011100011101…
…01100011000110100
31022021000122120212210
430232032230120310
5210434042140102
610135304013420
7662343245043
oct145616543064
938230576783
1013660505652
11587aaaa0a2
122792a61270
131399193751
1493838255a
1554e42236c
hex32e3ac634

13660505652 has 48 divisors (see below), whose sum is σ = 33926280192. Its totient is φ = 4263198720.

The previous prime is 13660505633. The next prime is 13660505659. The reversal of 13660505652 is 25650506631.

13660505652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13660505652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13660505659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136333 + ... + 214260.

It is an arithmetic number, because the mean of its divisors is an integer number (706797504).

Almost surely, 213660505652 is an apocalyptic number.

13660505652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13660505652 is an abundant number, since it is smaller than the sum of its proper divisors (20265774540).

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

13660505652 is a wasteful number, since it uses less digits than its factorization.

13660505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350808 (or 350806 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 13660505652 in words is "thirteen billion, six hundred sixty million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 1146 2292 3247 6494 9741 12988 19482 38964 350593 701186 1051779 1402372 2103558 4207116 5960081 11920162 17880243 23840324 35760486 66963263 71520972 133926526 200889789 267853052 401779578 803559156 1138375471 2276750942 3415126413 4553501884 6830252826 13660505652