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23165317168 = 2475324116193
BaseRepresentation
bin10101100100110000…
…101011000000110000
32012210102122001002221
4111210300223000300
5334420310122133
614350401050424
71450025642560
oct254460530060
965712561087
1023165317168
119908243724
1245a6026a14
1322523c1b86
14119a842da0
15908ab7a2d
hex564c2b030

23165317168 has 80 divisors (see below), whose sum is σ = 52482551616. Its totient is φ = 9699655680.

The previous prime is 23165317159. The next prime is 23165317193. The reversal of 23165317168 is 86171356132.

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 15 ways as a sum of consecutive naturals, for example, 1422480 + ... + 1438672.

Almost surely, 223165317168 is an apocalyptic number.

23165317168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23165317168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241275808).

23165317168 is an abundant number, since it is smaller than the sum of its proper divisors (29317234448).

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

23165317168 is a wasteful number, since it uses less digits than its factorization.

23165317168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502 (or 16496 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 23165317168 in words is "twenty-three billion, one hundred sixty-five million, three hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 241 371 424 482 742 848 964 1484 1687 1928 2968 3374 3856 5936 6748 12773 13496 16193 25546 26992 32386 51092 64772 89411 102184 113351 129544 178822 204368 226702 259088 357644 453404 715288 858229 906808 1430576 1716458 1813616 3432916 3902513 6007603 6865832 7805026 12015206 13731664 15610052 24030412 27317591 31220104 48060824 54635182 62440208 96121648 109270364 206833189 218540728 413666378 437081456 827332756 1447832323 1654665512 2895664646 3309331024 5791329292 11582658584 23165317168