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26794090752 = 2831113243973
BaseRepresentation
bin11000111101000011…
…010110000100000000
32120011022210211122120
4120331003112010000
5414333241401002
620150430204240
71635661004442
oct307503260400
976138724576
1026794090752
11103aa624a60
125239353680
1326b0137990
141422762492
15a6c45ecbc
hex63d0d6100

26794090752 has 144 divisors (see below), whose sum is σ = 83778719808. Its totient is φ = 7494819840.

The previous prime is 26794090733. The next prime is 26794090759. The reversal of 26794090752 is 25709049762.

It is a junction number, because it is equal to n+sod(n) for n = 26794090695 and 26794090704.

It is not an unprimeable number, because it can be changed into a prime (26794090759) 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 15 ways as a sum of consecutive naturals, for example, 12163 + ... + 231810.

Almost surely, 226794090752 is an apocalyptic number.

26794090752 is a gapful number since it is divisible by the number (22) 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 26794090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41889359904).

26794090752 is an abundant number, since it is smaller than the sum of its proper divisors (56984629056).

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

26794090752 is a wasteful number, since it uses less digits than its factorization.

26794090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244016 (or 244002 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 26794090752 in words is "twenty-six billion, seven hundred ninety-four million, ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 27456 36608 54912 109824 243973 487946 731919 975892 1463838 1951784 2683703 2927676 3171649 3903568 5367406 5855352 6343298 7807136 8051109 9514947 10734812 11710704 12686596 15614272 16102218 19029894 21469624 23421408 25373192 31228544 32204436 34888139 38059788 42939248 46842816 50746384 62457088 64408872 69776278 76119576 85878496 93685632 101492768 104664417 128817744 139552556 152239152 171756992 187371264 202985536 209328834 257635488 279105112 304478304 343513984 405971072 418657668 515270976 558210224 608956608 687027968 811942144 837315336 1030541952 1116420448 1217913216 1674630672 2061083904 2232840896 2435826432 3349261344 4465681792 6698522688 8931363584 13397045376 26794090752