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10330815617 = 149533313001
BaseRepresentation
bin10011001111100001…
…11011110010000001
3222122222020210211122
421213300323302001
5132124142044432
64425041122025
7514002324653
oct114760736201
928588223748
1010330815617
114421526751
122003929315
13c883b7565
147000786d3
15406e57612
hex267c3bc81

10330815617 has 8 divisors (see below), whose sum is σ = 10402900200. Its totient is φ = 10258768000.

The previous prime is 10330815601. The next prime is 10330815623. The reversal of 10330815617 is 71651803301.

10330815617 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 420414016 + 9910401601 = 20504^2 + 99551^2 .

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 10330815617 - 24 = 10330815601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10330814617) 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, 788117 + ... + 801117.

It is an arithmetic number, because the mean of its divisors is an integer number (1300362525).

Almost surely, 210330815617 is an apocalyptic number.

It is an amenable number.

10330815617 is a deficient number, since it is larger than the sum of its proper divisors (72084583).

10330815617 is a wasteful number, since it uses less digits than its factorization.

10330815617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483.

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10330815617 in words is "ten billion, three hundred thirty million, eight hundred fifteen thousand, six hundred seventeen".

Divisors: 1 149 5333 13001 794617 1937149 69334333 10330815617