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15106660406009 = 1011289351732993
BaseRepresentation
bin1101101111010100101100…
…1000001001001011111001
31222111011221010201101220022
43123311023020021023321
53440001420030443014
652043523132140225
73116264061530324
oct333651310111371
958434833641808
1015106660406009
1148a4775a73257
12183b932007675
13857723883563
143a32483337bb
151b2e5b487a8e
hexdbd4b2092f9

15106660406009 has 16 divisors (see below), whose sum is σ = 15272871129360. Its totient is φ = 14940783513600.

The previous prime is 15106660406003. The next prime is 15106660406021. The reversal of 15106660406009 is 90060406660151.

It can be written as a sum of positive squares in 8 ways, for example, as 3229352761600 + 11877307644409 = 1797040^2 + 3446347^2 .

It is a cyclic number.

It is not a de Polignac number, because 15106660406009 - 212 = 15106660401913 is a prime.

It is a super-2 number, since 2×151066604060092 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15106660406003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457858217 + ... + 457891209.

It is an arithmetic number, because the mean of its divisors is an integer number (954554445585).

Almost surely, 215106660406009 is an apocalyptic number.

It is an amenable number.

15106660406009 is a deficient number, since it is larger than the sum of its proper divisors (166210723351).

15106660406009 is a wasteful number, since it uses less digits than its factorization.

15106660406009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37900.

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 15106660406009 in words is "fifteen trillion, one hundred six billion, six hundred sixty million, four hundred six thousand, nine".

Divisors: 1 101 1289 3517 32993 130189 355217 3332293 4533413 42527977 116036381 457874713 4295325677 11719674481 149570895109 15106660406009