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10005660666 = 232555870037
BaseRepresentation
bin10010101000110001…
…00100001111111010
3221211022102020002200
421110120210033322
5130442422120131
64332504011030
7502643466231
oct112430441772
927738366080
1010005660666
114274a30a51
121b32a60a76
13c35c1cb91
146acbd7b18
153d862a2e6
hex2546243fa

10005660666 has 12 divisors (see below), whose sum is σ = 21678931482. Its totient is φ = 3335220216.

The previous prime is 10005660569. The next prime is 10005660689. The reversal of 10005660666 is 66606650001.

It can be written as a sum of positive squares in only one way, i.e., 5731247025 + 4274413641 = 75705^2 + 65379^2 .

It is a super-2 number, since 2×100056606662 (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 10005660666.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277935001 + ... + 277935036.

Almost surely, 210005660666 is an apocalyptic number.

10005660666 is an abundant number, since it is smaller than the sum of its proper divisors (11673270816).

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

10005660666 is a wasteful number, since it uses less digits than its factorization.

10005660666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555870045 (or 555870042 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10005660666 in words is "ten billion, five million, six hundred sixty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 555870037 1111740074 1667610111 3335220222 5002830333 10005660666