Search a number
-
+
13060417766399 = 2323915121157127
BaseRepresentation
bin1011111000001101110110…
…0011111100001111111111
31201020120012222012001210022
42332003131203330033333
53202440213422011044
643435512331002355
72515404220215053
oct276033543741777
951216188161708
1013060417766399
11418598a387943
12156b2435993bb
13739790b37753
143321b0185c63
15179ae890c3ee
hexbe0dd8fc3ff

13060417766399 has 16 divisors (see below), whose sum is σ = 13686276188160. Its totient is φ = 12439401448320.

The previous prime is 13060417766393. The next prime is 13060417766411. The reversal of 13060417766399 is 99366771406031.

It is a happy number.

It is a Cunningham number, because it is equal to 36139202-1.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13060417766399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13060417766393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83041574 + ... + 83198700.

It is an arithmetic number, because the mean of its divisors is an integer number (855392261760).

Almost surely, 213060417766399 is an apocalyptic number.

13060417766399 is a deficient number, since it is larger than the sum of its proper divisors (625858421761).

13060417766399 is a wasteful number, since it uses less digits than its factorization.

13060417766399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172510.

The product of its (nonzero) digits is 30862944, while the sum is 62.

The spelling of 13060417766399 in words is "thirteen trillion, sixty billion, four hundred seventeen million, seven hundred sixty-six thousand, three hundred ninety-nine".

Divisors: 1 23 239 5497 15121 157127 347783 3613919 3613921 37553353 83120137 863727119 2375917367 54646099441 567844250713 13060417766399