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27684866913894 = 232193131171220859
BaseRepresentation
bin1100100101101111000101…
…01010000111011001100110
310122000122110222100110021100
412102313202222013121212
512112042101412221034
6134514130254300530
75555110545013101
oct622674252073146
9118018428313240
1027684866913894
1189040a46a2443
123131619ab7746
13125a896aa3b78
146b9d51a0d738
15330230cda099
hex192de2a87666

27684866913894 has 96 divisors (see below), whose sum is σ = 63397032566400. Its totient is φ = 8707176466560.

The previous prime is 27684866913881. The next prime is 27684866913919. The reversal of 27684866913894 is 49831966848672.

27684866913894 is a `hidden beast` number, since 2 + 7 + 68 + 486 + 69 + 13 + 8 + 9 + 4 = 666.

It is a super-2 number, since 2×276848669138942 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125240437 + ... + 125461295.

It is an arithmetic number, because the mean of its divisors is an integer number (660385755900).

Almost surely, 227684866913894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27684866913894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31698516283200).

27684866913894 is an abundant number, since it is smaller than the sum of its proper divisors (35712165652506).

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

27684866913894 is a wasteful number, since it uses less digits than its factorization.

27684866913894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222370 (or 222367 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 27684866913894 in words is "twenty-seven trillion, six hundred eighty-four billion, eight hundred sixty-six million, nine hundred thirteen thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 313 342 626 939 1171 1878 2342 2817 3513 5634 5947 7026 10539 11894 17841 21078 22249 35682 44498 53523 66747 107046 133494 200241 220859 366523 400482 441718 662577 733046 1099569 1325154 1987731 2199138 3298707 3975462 4196321 6597414 6963937 8392642 12588963 13927874 20891811 25177926 37766889 41783622 62675433 69128867 75533778 125350866 138257734 207386601 258625889 414773202 517251778 622159803 775877667 1244319606 1313448473 1551755334 2327633001 2626896946 3940345419 4655266002 4913891891 7880690838 9827783782 11821036257 14741675673 23642072514 29483351346 44225027019 80949903257 88450054038 161899806514 242849709771 485699419542 728549129313 1457098258626 1538048161883 3076096323766 4614144485649 9228288971298 13842433456947 27684866913894