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2090172513 = 3112133711971
BaseRepresentation
bin111110010010101…
…1000000001100001
312101200000202122210
41330211120001201
513240041010023
6543223352333
7102540113262
oct17445300141
95350022583
102090172513
11982936600
124a3bb26a9
13274059990
1415b84c969
15c3775593
hex7c958061

2090172513 has 48 divisors (see below), whose sum is σ = 3388363328. Its totient is φ = 1137628800.

The previous prime is 2090172499. The next prime is 2090172529. The reversal of 2090172513 is 3152710902.

It is not a de Polignac number, because 2090172513 - 25 = 2090172481 is a prime.

It is a super-2 number, since 2×20901725132 = 8737642268201470338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2090172583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168618 + ... + 180588.

Almost surely, 22090172513 is an apocalyptic number.

It is an amenable number.

2090172513 is a deficient number, since it is larger than the sum of its proper divisors (1298190815).

2090172513 is a wasteful number, since it uses less digits than its factorization.

2090172513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046 (or 12035 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2090172513 is about 45718.4045325293. The cubic root of 2090172513 is about 1278.5784415469.

The spelling of 2090172513 in words is "two billion, ninety million, one hundred seventy-two thousand, five hundred thirteen".

Divisors: 1 3 11 13 33 37 39 111 121 143 363 407 429 481 1221 1443 1573 4477 4719 5291 11971 13431 15873 35913 58201 131681 155623 174603 395043 442927 466869 1328781 1448491 1711853 4345473 4872197 5135559 5758051 14616591 17274153 18830383 53594167 56491149 63338561 160782501 190015683 696724171 2090172513