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26113372506 = 23213235982237
BaseRepresentation
bin11000010100011110…
…100111000101011010
32111101212220202202200
4120110132213011122
5411440010410011
615555112111030
71613054001234
oct302436470532
974355822680
1026113372506
11100903552a1
125089395476
1326020b9b10
14139a1a7254
15a2c7ea856
hex6147a715a

26113372506 has 96 divisors (see below), whose sum is σ = 64658805120. Its totient is φ = 7555185792.

The previous prime is 26113372499. The next prime is 26113372507. The reversal of 26113372506 is 60527331162.

26113372506 is a `hidden beast` number, since 2 + 6 + 113 + 37 + 2 + 506 = 666.

It is not an unprimeable number, because it can be changed into a prime (26113372507) by changing a digit.

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, 276420 + ... + 358656.

It is an arithmetic number, because the mean of its divisors is an integer number (673529220).

Almost surely, 226113372506 is an apocalyptic number.

26113372506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26113372506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32329402560).

26113372506 is an abundant number, since it is smaller than the sum of its proper divisors (38545432614).

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

26113372506 is a wasteful number, since it uses less digits than its factorization.

26113372506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82340 (or 82337 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 26113372506 in words is "twenty-six billion, one hundred thirteen million, three hundred seventy-two thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 59 69 78 117 118 138 177 207 234 299 354 414 531 598 767 897 1062 1357 1534 1794 2301 2691 2714 4071 4602 5382 6903 8142 12213 13806 17641 24426 35282 52923 82237 105846 158769 164474 246711 317538 493422 740133 1069081 1480266 1891451 2138162 3207243 3782902 4851983 5674353 6414486 9621729 9703966 11348706 14555949 17023059 19243458 24588863 29111898 34046118 43667847 49177726 63075779 73766589 87335694 111595609 126151558 147533178 189227337 221299767 223191218 334786827 378454674 442599534 567682011 669573654 1004360481 1135364022 1450742917 2008720962 2901485834 4352228751 8704457502 13056686253 26113372506