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91889266368 = 2632995317317
BaseRepresentation
bin101010110010100000…
…1101110111011000000
322210011220212101100210
41111211001232323000
53001142123010433
6110114025514120
76432046606524
oct1254501567300
9283156771323
1091889266368
1135a74105959
1215985642940
138885368383
144639badd84
1525cc169463
hex156506eec0

91889266368 has 112 divisors (see below), whose sum is σ = 251785709280. Its totient is φ = 29540818944.

The previous prime is 91889266367. The next prime is 91889266411. The reversal of 91889266368 is 86366298819.

It is a super-2 number, since 2×918892663682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91889266299 and 91889266308.

It is not an unprimeable number, because it can be changed into a prime (91889266361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5297646 + ... + 5314962.

It is an arithmetic number, because the mean of its divisors is an integer number (2248086690).

Almost surely, 291889266368 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 91889266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125892854640).

91889266368 is an abundant number, since it is smaller than the sum of its proper divisors (159896442912).

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

91889266368 is a wasteful number, since it uses less digits than its factorization.

91889266368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 18304 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 66.

The spelling of 91889266368 in words is "ninety-one billion, eight hundred eighty-nine million, two hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 953 1392 1856 1906 2784 2859 3812 5568 5718 7624 11436 15248 17317 22872 27637 30496 34634 45744 51951 55274 60992 69268 82911 91488 103902 110548 138536 165822 182976 207804 221096 277072 331644 415608 442192 502193 554144 663288 831216 884384 1004386 1108288 1326576 1506579 1662432 1768768 2008772 2653152 3013158 3324864 4017544 5306304 6026316 8035088 12052632 16070176 16503101 24105264 32140352 33006202 48210528 49509303 66012404 96421056 99018606 132024808 198037212 264049616 396074424 478589929 528099232 792148848 957179858 1056198464 1435769787 1584297696 1914359716 2871539574 3168595392 3828719432 5743079148 7657438864 11486158296 15314877728 22972316592 30629755456 45944633184 91889266368