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26643422688 = 2533110938191
BaseRepresentation
bin11000110100000100…
…100101110111100000
32112202211022002220220
4120310010211313200
5414031204011223
620123445003040
71632151233111
oct306404456740
975684262826
1026643422688
11103325768a3
1251b69b3480
132687b6398c
14140a742208
15a5e0ec6e3
hex634125de0

26643422688 has 96 divisors (see below), whose sum is σ = 72269955072. Its totient is φ = 8585740800.

The previous prime is 26643422671. The next prime is 26643422713. The reversal of 26643422688 is 88622434662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26643422688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3248673 + ... + 3256863.

It is an arithmetic number, because the mean of its divisors is an integer number (752812032).

Almost surely, 226643422688 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 26643422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36134977536).

26643422688 is an abundant number, since it is smaller than the sum of its proper divisors (45626532384).

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

26643422688 is a wasteful number, since it uses less digits than its factorization.

26643422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9320 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The spelling of 26643422688 in words is "twenty-six billion, six hundred forty-three million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1093 1488 2186 2976 3279 4372 6558 8191 8744 13116 16382 17488 24573 26232 32764 33883 34976 49146 52464 65528 67766 98292 101649 104928 131056 135532 196584 203298 253921 262112 271064 393168 406596 507842 542128 761763 786336 813192 1015684 1084256 1523526 1626384 2031368 3047052 3252768 4062736 6094104 8125472 8952763 12188208 17905526 24376416 26858289 35811052 53716578 71622104 107433156 143244208 214866312 277535653 286488416 429732624 555071306 832606959 859465248 1110142612 1665213918 2220285224 3330427836 4440570448 6660855672 8881140896 13321711344 26643422688