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26911090116 = 223219214392
BaseRepresentation
bin11001000100000001…
…101010010111000100
32120110110222000121100
4121010001222113010
5420103214340431
620210210020100
71641611330451
oct310401522704
976413860540
1026911090116
111045a677349
125270577630
1326cb450b81
1414340da828
15a778714e6
hex64406a5c4

26911090116 has 81 divisors (see below), whose sum is σ = 71843894031. Its totient is φ = 8492333328.

The previous prime is 26911090109. The next prime is 26911090123. The reversal of 26911090116 is 61109011962.

The square root of 26911090116 is 164046.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (26911090109) and next prime (26911090123).

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

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18700525 + ... + 18701963.

Almost surely, 226911090116 is an apocalyptic number.

26911090116 is the 164046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26911090116

26911090116 is an abundant number, since it is smaller than the sum of its proper divisors (44932803915).

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

26911090116 is a wasteful number, since it uses less digits than its factorization.

26911090116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Multiplying 26911090116 by its sum of digits (36), we get a square (968799244176 = 9842762).

26911090116 divided by its sum of digits (36) gives a square (747530281 = 273412).

The spelling of 26911090116 in words is "twenty-six billion, nine hundred eleven million, ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1439 1444 2166 2878 3249 4317 4332 5756 6498 8634 12951 12996 17268 25902 27341 51804 54682 82023 109364 164046 246069 328092 492138 519479 984276 1038958 1558437 2070721 2077916 3116874 4141442 4675311 6212163 6233748 8282884 9350622 12424326 18636489 18701244 24848652 37272978 39343699 74545956 78687398 118031097 157374796 236062194 354093291 472124388 708186582 747530281 1416373164 1495060562 2242590843 2990121124 4485181686 6727772529 8970363372 13455545058 26911090116