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13664005146 = 2321180985303
BaseRepresentation
bin11001011100111000…
…00010110000011010
31022021021020101021200
430232130002300122
5210440441131041
610135511015030
7662415061461
oct145634026032
938237211250
1013664005146
115881a7a340
12279406a476
131399b1a55c
14938a139d8
1554e8b41b6
hex32e702c1a

13664005146 has 48 divisors (see below), whose sum is σ = 32337040320. Its totient is φ = 4135440960.

The previous prime is 13664005141. The next prime is 13664005171. The reversal of 13664005146 is 64150046631.

It is a happy number.

13664005146 is a `hidden beast` number, since 1 + 3 + 6 + 640 + 0 + 5 + 1 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13664005146.

It is not an unprimeable number, because it can be changed into a prime (13664005141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117531 + ... + 202833.

It is an arithmetic number, because the mean of its divisors is an integer number (673688340).

Almost surely, 213664005146 is an apocalyptic number.

13664005146 is an abundant number, since it is smaller than the sum of its proper divisors (18673035174).

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

13664005146 is a wasteful number, since it uses less digits than its factorization.

13664005146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86131 (or 86128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13664005146 in words is "thirteen billion, six hundred sixty-four million, five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 809 1618 2427 4854 7281 8899 14562 17798 26697 53394 80091 85303 160182 170606 255909 511818 767727 938333 1535454 1876666 2814999 5629998 8444997 16889994 69010127 138020254 207030381 414060762 621091143 759111397 1242182286 1518222794 2277334191 4554668382 6832002573 13664005146