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8026913268 = 2233117392557
BaseRepresentation
bin1110111100111000…
…01111100111110100
3202201102001102222000
413132130033213310
5112414342211033
63404300335300
7402625431333
oct73634174764
922642042860
108026913268
113449a8a820
121680244530
139abca712a
145620b1d1a
1531ea64a13
hex1de70f9f4

8026913268 has 96 divisors (see below), whose sum is σ = 23013621120. Its totient is φ = 2399051520.

The previous prime is 8026913149. The next prime is 8026913269. The reversal of 8026913268 is 8623196208.

It is a super-2 number, since 2×80269132682 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8026913269) 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, 40446 + ... + 133002.

It is an arithmetic number, because the mean of its divisors is an integer number (239725220).

Almost surely, 28026913268 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 8026913268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506810560).

8026913268 is an abundant number, since it is smaller than the sum of its proper divisors (14986707852).

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

8026913268 is a wasteful number, since it uses less digits than its factorization.

8026913268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92654 (or 92646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8026913268 is about 89593.0425200529. The cubic root of 8026913268 is about 2002.2402620095.

The spelling of 8026913268 in words is "eight billion, twenty-six million, nine hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 99 108 132 146 198 219 292 297 396 438 594 657 803 876 1188 1314 1606 1971 2409 2628 3212 3942 4818 7227 7884 9636 14454 21681 28908 43362 86724 92557 185114 277671 370228 555342 833013 1018127 1110684 1666026 2036254 2499039 3054381 3332052 4072508 4998078 6108762 6756661 9163143 9996156 12217524 13513322 18326286 20269983 27026644 27489429 36652572 40539966 54978858 60809949 74323271 81079932 109957716 121619898 148646542 182429847 222969813 243239796 297293084 364859694 445939626 668909439 729719388 891879252 1337818878 2006728317 2675637756 4013456634 8026913268