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10008618661 = 83421286427
BaseRepresentation
bin10010101001000111…
…10110011010100101
3221211111222111201001
421110203312122211
5130444201244121
64333051233301
7503010566146
oct112443663245
927744874631
1010008618661
114276671378
121b33a48831
13c36717382
146ad367acd
153d8a11991
hex2548f66a5

10008618661 has 8 divisors (see below), whose sum is σ = 10153299744. Its totient is φ = 9864511440.

The previous prime is 10008618647. The next prime is 10008618671. The reversal of 10008618661 is 16681680001.

It is a happy number.

10008618661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10008618661 - 25 = 10008618629 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 10008618661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008618671) 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, 108271 + ... + 178156.

It is an arithmetic number, because the mean of its divisors is an integer number (1269162468).

Almost surely, 210008618661 is an apocalyptic number.

It is an amenable number.

10008618661 is a deficient number, since it is larger than the sum of its proper divisors (144681083).

10008618661 is an equidigital number, since it uses as much as digits as its factorization.

10008618661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286931.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10008618661 in words is "ten billion, eight million, six hundred eighteen thousand, six hundred sixty-one".

Divisors: 1 83 421 34943 286427 23773441 120585767 10008618661