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2090271010644 = 22321289354112721
BaseRepresentation
bin11110011010101101110…
…111000110111101010100
321101211100120200022210200
4132122231313012331110
5233221333334320034
64240131322020500
7304005602302065
oct36325567067524
97354316608720
102090271010644
1173652a546213
12299137647730
1312215b57447b
147325377656c
153958d03da99
hex1e6addc6f54

2090271010644 has 72 divisors (see below), whose sum is σ = 5289748824360. Its totient is φ = 695965132800.

The previous prime is 2090271010637. The next prime is 2090271010687. The reversal of 2090271010644 is 4460101720902.

It is a happy number.

2090271010644 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 2 + 7 + 1 + 0 + 1 + 0 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 938379690000 + 1151891320644 = 968700^2 + 1073262^2 .

It is a super-2 number, since 2×20902710106442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2090271010599 and 2090271010608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164310204 + ... + 164322924.

Almost surely, 22090271010644 is an apocalyptic number.

It is an amenable number.

2090271010644 is an abundant number, since it is smaller than the sum of its proper divisors (3199477813716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2090271010644 is a wasteful number, since it uses less digits than its factorization.

2090271010644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2090271010644 in words is "two trillion, ninety billion, two hundred seventy-one million, ten thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1289 2578 3541 3867 5156 7082 7734 10623 11601 12721 14164 15468 21246 23202 25442 31869 38163 42492 46404 50884 63738 76326 114489 127476 152652 228978 457956 4564349 9128698 13693047 16397369 18257396 27386094 32794738 41079141 45045061 49192107 54772188 65589476 82158282 90090122 98384214 135135183 147576321 164316564 180180244 196768428 270270366 295152642 405405549 540540732 590305284 810811098 1621622196 58063083629 116126167258 174189250887 232252334516 348378501774 522567752661 696757003548 1045135505322 2090271010644