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26164785664 = 29312411297
BaseRepresentation
bin11000010111100010…
…101111001000000000
32111112110122211100201
4120113202233020000
5412041141120124
620004150054544
71614250002643
oct302742571000
974473584321
1026164785664
1110107380806
1250a264a454
13260c94b4c4
1413a2d4ba5a
15a320a4144
hex6178af200

26164785664 has 120 divisors (see below), whose sum is σ = 55379478924. Its totient is φ = 12342067200.

The previous prime is 26164785607. The next prime is 26164785683. The reversal of 26164785664 is 46658746162.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25985440000 + 179345664 = 161200^2 + 13392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20172664 + ... + 20173960.

Almost surely, 226164785664 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 26164785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27689739462).

26164785664 is an abundant number, since it is smaller than the sum of its proper divisors (29214693260).

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

26164785664 is an equidigital number, since it uses as much as digits as its factorization.

26164785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1371 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 26164785664 in words is "twenty-six billion, one hundred sixty-four million, seven hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 512 656 961 992 1271 1297 1312 1922 1984 2542 2594 2624 3844 3968 5084 5188 5248 7688 7936 10168 10376 10496 15376 15872 20336 20752 20992 30752 39401 40207 40672 41504 53177 61504 78802 80414 81344 83008 106354 123008 157604 160828 162688 166016 212708 246016 315208 321656 325376 332032 425416 492032 630416 643312 650752 664064 850832 1246417 1260832 1286624 1648487 1701664 2492834 2521664 2573248 3296974 3403328 4985668 5043328 5146496 6593948 6806656 9971336 10086656 10292992 13187896 13613312 19942672 20173312 20585984 26375792 27226624 39885344 51103097 52751584 79770688 102206194 105503168 159541376 204412388 211006336 319082752 408824776 422012672 638165504 817649552 844025344 1635299104 3270598208 6541196416 13082392832 26164785664