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189682313688 = 233271632308919
BaseRepresentation
bin1011000010100111110…
…0100110100111011000
3200010121021201220200100
42300221330212213120
511101432133014223
6223045554135400
716463335030620
oct2605174464730
9603537656610
10189682313688
11734977a281a
1230918281560
1314b6b88094a
149275aa3880
154e02762043
hex2c29f269d8

189682313688 has 96 divisors (see below), whose sum is σ = 590714092800. Its totient is φ = 53862439104.

The previous prime is 189682313659. The next prime is 189682313719. The reversal of 189682313688 is 886313286981.

189682313688 is a `hidden beast` number, since 189 + 6 + 82 + 313 + 68 + 8 = 666.

189682313688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1896823136882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1072308 + ... + 1236611.

It is an arithmetic number, because the mean of its divisors is an integer number (6153271800).

Almost surely, 2189682313688 is an apocalyptic number.

189682313688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189682313688 is an abundant number, since it is smaller than the sum of its proper divisors (401031779112).

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

189682313688 is a wasteful number, since it uses less digits than its factorization.

189682313688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309101 (or 2309094 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 189682313688 in words is "one hundred eighty-nine billion, six hundred eighty-two million, three hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 978 1141 1304 1467 1956 2282 2934 3423 3912 4564 5868 6846 9128 10269 11736 13692 20538 27384 41076 82152 2308919 4617838 6926757 9235676 13853514 16162433 18471352 20780271 27707028 32324866 41560542 48487299 55414056 64649732 83121084 96974598 129299464 145461897 166242168 193949196 290923794 376353797 387898392 581847588 752707594 1129061391 1163695176 1505415188 2258122782 2634476579 3010830376 3387184173 4516245564 5268953158 6774368346 7903429737 9032491128 10537906316 13548736692 15806859474 21075812632 23710289211 27097473384 31613718948 47420578422 63227437896 94841156844 189682313688