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8256490164 = 22331317345923
BaseRepresentation
bin1111011000010000…
…00000101010110100
3210022102001011021000
413230020000222310
5113402130141124
63443141123300
7411414002616
oct75410005264
923272034230
108256490164
11355763429a
1217250b9530
13a17718950
14584792db6
15334cb26c9
hex1ec200ab4

8256490164 has 96 divisors (see below), whose sum is σ = 24408397440. Its totient is φ = 2391012864.

The previous prime is 8256490163. The next prime is 8256490189. The reversal of 8256490164 is 4610946528.

8256490164 is a `hidden beast` number, since 82 + 564 + 9 + 0 + 1 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256490163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 149094 + ... + 196829.

It is an arithmetic number, because the mean of its divisors is an integer number (254254140).

Almost surely, 28256490164 is an apocalyptic number.

It is an amenable number.

8256490164 is an abundant number, since it is smaller than the sum of its proper divisors (16151907276).

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

8256490164 is a wasteful number, since it uses less digits than its factorization.

8256490164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345966 (or 345958 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8256490164 is about 90865.2307761335. The cubic root of 8256490164 is about 2021.1497362845.

The spelling of 8256490164 in words is "eight billion, two hundred fifty-six million, four hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 345923 691846 1037769 1383692 2075538 3113307 4151076 4496999 5880691 6226614 8993998 9339921 11761382 12453228 13490997 17642073 17987996 18679842 23522764 26981994 35284146 37359684 40472991 52926219 53963988 70568292 76448983 80945982 105852438 121418973 152897966 158778657 161891964 211704876 229346949 242837946 305795932 317557314 458693898 485675892 635114628 688040847 917387796 1376081694 2064122541 2752163388 4128245082 8256490164