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26297632768 = 211112106121
BaseRepresentation
bin11000011111011101…
…100000100000000000
32111212201122011022211
4120133131200200000
5412324143222033
620025253311504
71620452122201
oct303735404000
974781564284
1026297632768
1110175367800
12511b035594
132631322b64
1413b684d5a8
15a3da962cd
hex61f760800

26297632768 has 72 divisors (see below), whose sum is σ = 57797755470. Its totient is φ = 11953356800.

The previous prime is 26297632763. The next prime is 26297632853. The reversal of 26297632768 is 86723679262.

It can be written as a sum of positive squares in only one way, i.e., 17986028544 + 8311604224 = 134112^2 + 91168^2 .

It is not an unprimeable number, because it can be changed into a prime (26297632763) 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 5 ways as a sum of consecutive naturals, for example, 194748 + ... + 300868.

Almost surely, 226297632768 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 26297632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28898877735).

26297632768 is an abundant number, since it is smaller than the sum of its proper divisors (31500122702).

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

26297632768 is a wasteful number, since it uses less digits than its factorization.

26297632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106165 (or 106134 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The spelling of 26297632768 in words is "twenty-six billion, two hundred ninety-seven million, six hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 5632 7744 11264 15488 22528 30976 61952 106121 123904 212242 247808 424484 848968 1167331 1697936 2334662 3395872 4669324 6791744 9338648 12840641 13583488 18677296 25681282 27166976 37354592 51362564 54333952 74709184 102725128 108667904 149418368 205450256 217335808 298836736 410900512 597673472 821801024 1195346944 1643602048 2390693888 3287204096 6574408192 13148816384 26297632768