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2090166903 = 331127125969
BaseRepresentation
bin111110010010101…
…0110101001110111
312101200000110222000
41330211112221313
513240040320103
6543223310343
7102540061026
oct17445265167
95350013860
102090166903
11982932370
124a3bab3b3
13274057266
1415b84a8bd
15c3773aa3
hex7c956a77

2090166903 has 32 divisors (see below), whose sum is σ = 3390643200. Its totient is φ = 1262044800.

The previous prime is 2090166899. The next prime is 2090166917. The reversal of 2090166903 is 3096610902.

It is not a de Polignac number, because 2090166903 - 22 = 2090166899 is a prime.

It is a super-2 number, since 2×20901669032 = 8737595364793222818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090166943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67503 + ... + 93471.

It is an arithmetic number, because the mean of its divisors is an integer number (105957600).

Almost surely, 22090166903 is an apocalyptic number.

2090166903 is a deficient number, since it is larger than the sum of its proper divisors (1300476297).

2090166903 is a wasteful number, since it uses less digits than its factorization.

2090166903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26260 (or 26254 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2090166903 is about 45718.3431786411. The cubic root of 2090166903 is about 1278.5772976491.

The spelling of 2090166903 in words is "two billion, ninety million, one hundred sixty-six thousand, nine hundred three".

Divisors: 1 3 9 11 27 33 99 271 297 813 2439 2981 7317 8943 25969 26829 77907 80487 233721 285659 701163 856977 2570931 7037599 7712793 21112797 63338391 77413589 190015173 232240767 696722301 2090166903