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268880636401 = 13136931510489
BaseRepresentation
bin1111101001101010001…
…0001110100111110001
3221201000202100120011221
43322122202032213301
513401131420331101
6323304433105041
725266053461636
oct3723242164761
9851022316157
10268880636401
11a4039122893
124413b6b8181
131c4808962b0
14d02a19818d
156eda676aa1
hex3e9a88e9f1

268880636401 has 8 divisors (see below), whose sum is σ = 289585100840. Its totient is φ = 248179220352.

The previous prime is 268880636389. The next prime is 268880636441. The reversal of 268880636401 is 104636088862.

It can be written as a sum of positive squares in 4 ways, for example, as 17358326001 + 251522310400 = 131751^2 + 501520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268880636401 - 29 = 268880635889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268880636441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577236 + ... + 933253.

It is an arithmetic number, because the mean of its divisors is an integer number (36198137605).

Almost surely, 2268880636401 is an apocalyptic number.

It is an amenable number.

268880636401 is a deficient number, since it is larger than the sum of its proper divisors (20704464439).

268880636401 is a wasteful number, since it uses less digits than its factorization.

268880636401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524195.

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 268880636401 in words is "two hundred sixty-eight billion, eight hundred eighty million, six hundred thirty-six thousand, four hundred one".

Divisors: 1 13 13693 178009 1510489 19636357 20683125877 268880636401