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19836210690 = 234542158169
BaseRepresentation
bin10010011110010101…
…001000111000000010
31220012102022220120000
4102132111020320002
5311111032220230
613040154500430
71301363003022
oct223625107002
956172286500
1019836210690
11845a02975a
123a17134716
131b4178b49a
14d6264ba82
157b16b5b60
hex49e548e02

19836210690 has 80 divisors (see below), whose sum is σ = 53464977720. Its totient is φ = 5277000960.

The previous prime is 19836210677. The next prime is 19836210703. The reversal of 19836210690 is 9601263891.

It is a happy number.

19836210690 is a `hidden beast` number, since 19 + 8 + 3 + 621 + 0 + 6 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19836210677) and next prime (19836210703).

It can be written as a sum of positive squares in 4 ways, for example, as 7161729129 + 12674481561 = 84627^2 + 112581^2 .

It is a super-2 number, since 2×198362106902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311926 + ... + 370094.

Almost surely, 219836210690 is an apocalyptic number.

19836210690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19836210690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732488860).

19836210690 is an abundant number, since it is smaller than the sum of its proper divisors (33628767030).

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

19836210690 is a wasteful number, since it uses less digits than its factorization.

19836210690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58609 (or 58600 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19836210690 in words is "nineteen billion, eight hundred thirty-six million, two hundred ten thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 421 810 842 1263 2105 2526 3789 4210 6315 7578 11367 12630 18945 22734 34101 37890 56835 58169 68202 113670 116338 170505 174507 290845 341010 349014 523521 581690 872535 1047042 1570563 1745070 2617605 3141126 4711689 5235210 7852815 9423378 15705630 23558445 24489149 47116890 48978298 73467447 122445745 146934894 220402341 244891490 367337235 440804682 661207023 734674470 1102011705 1322414046 1983621069 2204023410 3306035115 3967242138 6612070230 9918105345 19836210690