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4159104294033 = 35131316588887
BaseRepresentation
bin111100100001011101111…
…011110001110010010001
3112201121101010111021100000
4330201131323301302101
51021120321144402113
612502355515120213
7606325324123503
oct74413573616221
915647333437300
104159104294033
111363958a45667
1257208b743069
13242281613310
14105431cd3d73
15732c3eb8373
hex3c85def1c91

4159104294033 has 24 divisors (see below), whose sum is σ = 6709336973248. Its totient is φ = 2559448794384.

The previous prime is 4159104294001. The next prime is 4159104294047. The reversal of 4159104294033 is 3304924019514.

4159104294033 is a `hidden beast` number, since 4 + 1 + 591 + 0 + 4 + 29 + 4 + 0 + 33 = 666.

It is not a de Polignac number, because 4159104294033 - 25 = 4159104294001 is a prime.

It is a super-4 number, since 4×41591042940334 (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4159104294033.

It is not an unprimeable number, because it can be changed into a prime (4159104295033) 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 23 ways as a sum of consecutive naturals, for example, 658291285 + ... + 658297602.

Almost surely, 24159104294033 is an apocalyptic number.

It is an amenable number.

4159104294033 is a deficient number, since it is larger than the sum of its proper divisors (2550232679215).

4159104294033 is a wasteful number, since it uses less digits than its factorization.

4159104294033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316588915 (or 1316588903 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4159104294033 in words is "four trillion, one hundred fifty-nine billion, one hundred four million, two hundred ninety-four thousand, thirty-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 1316588887 3949766661 11849299983 17115655531 35547899949 51346966593 106643699847 154040899779 319931099541 462122699337 1386368098011 4159104294033