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450982145768 = 237117116376299
BaseRepresentation
bin1101001000000001010…
…00010110111011101000
31121010001201110201022212
412210000220112323220
524342102412131033
6543102304304252
744403520663340
oct6440050267350
91533051421285
10450982145768
11164295734070
12734a1012088
13336b1a066bb
1417b83113d20
15bae75e4748
hex6900a16ee8

450982145768 has 128 divisors (see below), whose sum is σ = 1069915392000. Its totient is φ = 173099270400.

The previous prime is 450982145767. The next prime is 450982145773. The reversal of 450982145768 is 867541289054.

It is not an unprimeable number, because it can be changed into a prime (450982145767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71592683 + ... + 71598981.

It is an arithmetic number, because the mean of its divisors is an integer number (8358714000).

Almost surely, 2450982145768 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 450982145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696000).

450982145768 is an abundant number, since it is smaller than the sum of its proper divisors (618933246232).

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

450982145768 is a wasteful number, since it uses less digits than its factorization.

450982145768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 59.

The spelling of 450982145768 in words is "four hundred fifty billion, nine hundred eighty-two million, one hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 284 308 497 568 616 781 994 1562 1637 1988 3124 3274 3976 5467 6248 6299 6548 10934 11459 12598 13096 18007 21868 22918 25196 36014 43736 44093 45836 50392 69289 72028 88186 91672 116227 126049 138578 144056 176372 232454 252098 277156 352744 447229 464908 485023 504196 554312 813589 894458 929816 970046 1008392 1278497 1627178 1788916 1940092 2556994 3130603 3254356 3577832 3880184 4919519 5113988 6261206 6508712 8949479 9839038 10227976 10311463 12522412 17898958 19678076 20622926 25044824 34436633 35797916 39356152 41245852 68873266 71595832 72180241 82491704 113426093 137746532 144360482 226852186 275493064 288720964 453704372 577441928 732113873 793982651 907408744 1464227746 1587965302 2928455492 3175930604 5124797111 5856910984 6351861208 8053252603 10249594222 16106505206 20499188444 32213010412 40998376888 56372768221 64426020824 112745536442 225491072884 450982145768