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26242426260 = 22325145791257
BaseRepresentation
bin11000011100001010…
…111010010110010100
32111201212202101020100
4120130022322112110
5412221030120020
620020002134100
71616211641241
oct303412722624
974655671210
1026242426260
1110147190296
125104651330
132622a6399b
1413ad39c5c8
15a38cdda90
hex61c2ba594

26242426260 has 36 divisors (see below), whose sum is σ = 79602026868. Its totient is φ = 6997980288.

The previous prime is 26242426253. The next prime is 26242426267. The reversal of 26242426260 is 6262424262.

26242426260 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 24 + 2 + 626 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26242426253) and next prime (26242426267).

It can be written as a sum of positive squares in 2 ways, for example, as 11927260944 + 14315165316 = 109212^2 + 119646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26242426267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72895449 + ... + 72895808.

It is an arithmetic number, because the mean of its divisors is an integer number (2211167413).

Almost surely, 226242426260 is an apocalyptic number.

26242426260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26242426260 is an abundant number, since it is smaller than the sum of its proper divisors (53359600608).

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

26242426260 is a wasteful number, since it uses less digits than its factorization.

26242426260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145791272 (or 145791267 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26242426260 in words is "twenty-six billion, two hundred forty-two million, four hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 145791257 291582514 437373771 583165028 728956285 874747542 1312121313 1457912570 1749495084 2186868855 2624242626 2915825140 4373737710 5248485252 6560606565 8747475420 13121213130 26242426260