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2285167081968 = 243264131097963
BaseRepresentation
bin100001010000001110100…
…100100111100111110000
322002110102020000120101200
4201100032210213213300
5244420010233110333
64505442525131200
7324045366464421
oct41201644474760
98073366016350
102285167081968
11801152275241
1230aa699b9b00
1313764b346cb4
147c861a61648
153e69837cc13
hex2140e9279f0

2285167081968 has 120 divisors (see below), whose sum is σ = 6408135917040. Its totient is φ = 760193925120.

The previous prime is 2285167081903. The next prime is 2285167081993. The reversal of 2285167081968 is 8691807615822.

2285167081968 is a `hidden beast` number, since 2 + 28 + 516 + 7 + 0 + 8 + 1 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286969155 + ... + 286977117.

It is an arithmetic number, because the mean of its divisors is an integer number (53401132642).

Almost surely, 22285167081968 is an apocalyptic number.

It is an amenable number.

2285167081968 is an abundant number, since it is smaller than the sum of its proper divisors (4122968835072).

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

2285167081968 is a wasteful number, since it uses less digits than its factorization.

2285167081968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2285167081968 in words is "two trillion, two hundred eighty-five billion, one hundred sixty-seven million, eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 641 1282 1923 2564 3109 3846 5128 5769 6218 7692 7963 9327 10256 11538 12436 15384 15926 18654 23076 23889 24872 27981 30768 31852 37308 46152 47778 49744 55962 63704 71667 74616 92304 95556 111924 127408 143334 149232 191112 223848 286668 382224 447696 573336 1146672 1992869 3985738 5104283 5978607 7971476 10208566 11957214 15312849 15942952 17935821 20417132 23914428 24756967 30625698 31885904 35871642 40834264 45938547 47828856 49513934 61251396 71743284 74270901 81668528 91877094 95657712 99027868 122502792 143486568 148541802 183754188 198055736 222812703 245005584 286973136 297083604 367508376 396111472 445625406 594167208 735016752 891250812 1188334416 1782501624 3565003248 15869215847 31738431694 47607647541 63476863388 95215295082 126953726776 142822942623 190430590164 253907453552 285645885246 380861180328 571291770492 761722360656 1142583540984 2285167081968