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13605940152 = 233273550937
BaseRepresentation
bin11001010101111101…
…00010101110111000
31022010012222101002100
430222332202232320
5210331110041102
610130034303400
7661111404000
oct145276425670
938105871070
1013605940152
115852220242
122778727b60
13138aa9a27c
1493101b000
15549744a1c
hex32afa2bb8

13605940152 has 96 divisors (see below), whose sum is σ = 42973164000. Its totient is φ = 3887404416.

The previous prime is 13605940097. The next prime is 13605940217. The reversal of 13605940152 is 25104950631.

13605940152 is a `hidden beast` number, since 1 + 3 + 60 + 594 + 0 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250773 + ... + 300164.

It is an arithmetic number, because the mean of its divisors is an integer number (447637125).

Almost surely, 213605940152 is an apocalyptic number.

13605940152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13605940152 is an abundant number, since it is smaller than the sum of its proper divisors (29367223848).

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

13605940152 is a wasteful number, since it uses less digits than its factorization.

13605940152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550970 (or 550949 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13605940152 in words is "thirteen billion, six hundred five million, nine hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 12348 24696 550937 1101874 1652811 2203748 3305622 3856559 4407496 4958433 6611244 7713118 9916866 11569677 13222488 15426236 19833732 23139354 26995913 30852472 34709031 39667464 46278708 53991826 69418062 80987739 92557416 107983652 138836124 161975478 188971391 215967304 242963217 277672248 323950956 377942782 485926434 566914173 647901912 755885564 971852868 1133828346 1511771128 1700742519 1943705736 2267656692 3401485038 4535313384 6802970076 13605940152