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26991861264 = 2432136912
BaseRepresentation
bin11001001000110101…
…110001111000010000
32120200002221121210100
4121020311301320100
5420234404030024
620222213132400
71643612015034
oct311065617020
976602847710
1026991861264
11104a1224965
12529362a100
1327120c1254
141440b241c4
15a7e9c87c9
hex648d71e10

26991861264 has 45 divisors (see below), whose sum is σ = 75545240719. Its totient is φ = 8996629920.

The previous prime is 26991861227. The next prime is 26991861313. The reversal of 26991861264 is 46216819962.

The square root of 26991861264 is 164292.

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

26991861264 is a `hidden beast` number, since 2 + 6 + 9 + 9 + 18 + 612 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26991861264.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1964659 + ... + 1978349.

Almost surely, 226991861264 is an apocalyptic number.

26991861264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26991861264 is the 164292-nd square number.

It is an amenable number.

26991861264 is an abundant number, since it is smaller than the sum of its proper divisors (48553379455).

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

26991861264 is an frugal number, since it uses more digits than its factorization.

26991861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 13696 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 26991861264 in words is "twenty-six billion, nine hundred ninety-one million, eight hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13691 27382 41073 54764 82146 109528 123219 164292 219056 246438 328584 492876 657168 985752 1971504 187443481 374886962 562330443 749773924 1124660886 1499547848 1686991329 2249321772 2999095696 3373982658 4498643544 6747965316 8997287088 13495930632 26991861264