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27089686774880 = 255414129525423
BaseRepresentation
bin1100010100011010011110…
…01010000100010001100000
310112220202012211220201001222
412022031033022010101200
512022314134303244010
6133340455202314212
75464110456214652
oct612151712042140
9115822184821058
1027089686774880
1186a4742a59834
1230561b5358968
131216714883012
1469920d9386d2
1531e9e918e355
hex18a34f284460

27089686774880 has 48 divisors (see below), whose sum is σ = 65560345631424. Its totient is φ = 10571585080320.

The previous prime is 27089686774877. The next prime is 27089686774883. The reversal of 27089686774880 is 8847768698072.

27089686774880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (27089686774877) and next prime (27089686774883).

It is a super-3 number, since 3×270896867748803 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 27089686774795 and 27089686774804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27089686774883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064756152 + ... + 2064769271.

It is an arithmetic number, because the mean of its divisors is an integer number (1365840533988).

Almost surely, 227089686774880 is an apocalyptic number.

27089686774880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27089686774880 is an abundant number, since it is smaller than the sum of its proper divisors (38470658856544).

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

27089686774880 is a wasteful number, since it uses less digits than its factorization.

27089686774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129525479 (or 4129525471 counting only the distinct ones).

The product of its (nonzero) digits is 3641573376, while the sum is 80.

The spelling of 27089686774880 in words is "twenty-seven trillion, eighty-nine billion, six hundred eighty-six million, seven hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 4129525423 8259050846 16518101692 20647627115 33036203384 41295254230 66072406768 82590508460 132144813536 165181016920 169310542343 330362033840 338621084686 660724067680 677242169372 846552711715 1354484338744 1693105423430 2708968677488 3386210846860 5417937354976 6772421693720 13544843387440 27089686774880