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10768857409 = 129720694013
BaseRepresentation
bin10100000011101111…
…11011100101000001
31000210111111122012201
422001313323211001
5134023311414114
64540325553201
7530601530512
oct120167734501
930714448181
1010768857409
114626814a62
122106575801
13102808829b
14742302a09
15430632874
hex281dfb941

10768857409 has 8 divisors (see below), whose sum is σ = 10785056040. Its totient is φ = 10752673536.

The previous prime is 10768857397. The next prime is 10768857443. The reversal of 10768857409 is 90475886701.

10768857409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5051229184 + 5717628225 = 71072^2 + 75615^2 .

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 10768857409 - 25 = 10768857377 is a prime.

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 10768857409.

It is not an unprimeable number, because it can be changed into a prime (10768857509) 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 7 ways as a sum of consecutive naturals, for example, 2681487 + ... + 2685499.

It is an arithmetic number, because the mean of its divisors is an integer number (1348132005).

Almost surely, 210768857409 is an apocalyptic number.

It is an amenable number.

10768857409 is a deficient number, since it is larger than the sum of its proper divisors (16198631).

10768857409 is a wasteful number, since it uses less digits than its factorization.

10768857409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 10768857409 in words is "ten billion, seven hundred sixty-eight million, eight hundred fifty-seven thousand, four hundred nine".

Divisors: 1 1297 2069 4013 2683493 5204861 8302897 10768857409