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13968291968 = 27412661641
BaseRepresentation
bin11010000001001001…
…10011100010000000
31100001110210202022222
431000210303202000
5212101340320333
610230020550212
71003101344201
oct150044634200
940043722288
1013968291968
115a18811554
122859b52368
131417b89627
149671c15a8
1556b46d298
hex340933880

13968291968 has 32 divisors (see below), whose sum is σ = 28506185820. Its totient is φ = 6813798400.

The previous prime is 13968291941. The next prime is 13968291971. The reversal of 13968291968 is 86919286931.

It can be written as a sum of positive squares in 2 ways, for example, as 13603023424 + 365268544 = 116632^2 + 19112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×139682919682 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13968291968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325573 + ... + 1336068.

Almost surely, 213968291968 is an apocalyptic number.

It is an amenable number.

13968291968 is an abundant number, since it is smaller than the sum of its proper divisors (14537893852).

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

13968291968 is an equidigital number, since it uses as much as digits as its factorization.

13968291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661696 (or 2661684 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 62.

The spelling of 13968291968 in words is "thirteen billion, nine hundred sixty-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 2661641 5323282 10646564 21293128 42586256 85172512 109127281 170345024 218254562 340690048 436509124 873018248 1746036496 3492072992 6984145984 13968291968