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2993855817169 = 725112589135353
BaseRepresentation
bin101011100100001111101…
…101100110010111010001
3101121012122221220110010001
4223210033231212113101
5343022404042122134
610211205224210001
7426204352364440
oct53441755462721
911535587813101
102993855817169
11a54761617228
12404290309901
1318941c920c69
14a4c90cb4d57
1552d2512a414
hex2b90fb665d1

2993855817169 has 16 divisors (see below), whose sum is σ = 3435479429760. Its totient is φ = 2555716464000.

The previous prime is 2993855817163. The next prime is 2993855817203. The reversal of 2993855817169 is 9617185583992.

It is not a de Polignac number, because 2993855817169 - 25 = 2993855817137 is a prime.

It is a super-3 number, since 3×29938558171693 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2993855817163) 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, 22051197 + ... + 22186549.

It is an arithmetic number, because the mean of its divisors is an integer number (214717464360).

Almost surely, 22993855817169 is an apocalyptic number.

It is an amenable number.

2993855817169 is a deficient number, since it is larger than the sum of its proper divisors (441623612591).

2993855817169 is a wasteful number, since it uses less digits than its factorization.

2993855817169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148200.

The product of its digits is 293932800, while the sum is 73.

The spelling of 2993855817169 in words is "two trillion, nine hundred ninety-three billion, eight hundred fifty-five million, eight hundred seventeen thousand, one hundred sixty-nine".

Divisors: 1 7 251 1757 12589 88123 135353 947471 3159839 22118873 33973603 237815221 1703958917 11927712419 427693688167 2993855817169