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26693754138 = 23223793832131
BaseRepresentation
bin11000110111000100…
…100101110100011010
32112220100000012200200
4120313010211310122
5414132100113023
620132443443030
71633332111042
oct306704456432
975810005620
1026693754138
1110358a23637
12520b826476
132695406bbc
1414132c4722
15a63740743
hex637125d1a

26693754138 has 96 divisors (see below), whose sum is σ = 61303357440. Its totient is φ = 8377443360.

The previous prime is 26693754121. The next prime is 26693754163. The reversal of 26693754138 is 83145739662.

26693754138 is a `hidden beast` number, since 2 + 6 + 6 + 93 + 7 + 541 + 3 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12525333 + ... + 12527463.

It is an arithmetic number, because the mean of its divisors is an integer number (638576640).

Almost surely, 226693754138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26693754138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30651678720).

26693754138 is an abundant number, since it is smaller than the sum of its proper divisors (34609603302).

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

26693754138 is a wasteful number, since it uses less digits than its factorization.

26693754138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2621 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 26693754138 in words is "twenty-six billion, six hundred ninety-three million, seven hundred fifty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 79 138 158 207 237 383 414 474 711 766 1149 1422 1817 2131 2298 3447 3634 4262 5451 6393 6894 8809 10902 12786 16353 17618 19179 26427 30257 32706 38358 49013 52854 60514 79281 90771 98026 147039 158562 168349 181542 272313 294078 336698 441117 505047 544626 695911 816173 882234 1010094 1391822 1515141 1632346 2087733 2448519 3030282 3872027 4175466 4897038 6263199 7345557 7744054 11616081 12526398 14691114 18771979 23232162 34848243 37543958 56315937 64477667 69696486 112631874 128955334 168947811 193433001 337895622 386866002 580299003 1160598006 1482986341 2965972682 4448959023 8897918046 13346877069 26693754138