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26355075340 = 225112101107827
BaseRepresentation
bin11000100010111000…
…101000100100001100
32112000201201112201111
4120202320220210030
5412433344402330
620035104421404
71622050305226
oct304270504414
975021645644
1026355075340
11101a4831200
125136317864
1326401b5a49
1413c0323416
15a43b4132a
hex622e2890c

26355075340 has 72 divisors (see below), whose sum is σ = 61437375216. Its totient is φ = 9488688000.

The previous prime is 26355075337. The next prime is 26355075349. The reversal of 26355075340 is 4357055362.

It is a super-2 number, since 2×263550753402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26355075293 and 26355075302.

It is not an unprimeable number, because it can be changed into a prime (26355075349) 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 23 ways as a sum of consecutive naturals, for example, 190507 + ... + 298333.

It is an arithmetic number, because the mean of its divisors is an integer number (853296878).

Almost surely, 226355075340 is an apocalyptic number.

26355075340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26355075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718687608).

26355075340 is an abundant number, since it is smaller than the sum of its proper divisors (35082299876).

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

26355075340 is a wasteful number, since it uses less digits than its factorization.

26355075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107959 (or 107946 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 26355075340 in words is "twenty-six billion, three hundred fifty-five million, seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 107827 122210 215654 244420 431308 539135 1078270 1186097 2156540 2372194 4744388 5930485 10890527 11860970 13047067 21781054 23721940 26094134 43562108 52188268 54452635 65235335 108905270 119795797 130470670 217810540 239591594 260941340 479183188 598978985 1197957970 1317753767 2395915940 2635507534 5271015068 6588768835 13177537670 26355075340