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27089289024 = 2637199710093
BaseRepresentation
bin11001001110101001…
…011011111101000000
32120220220021110112220
4121032221123331000
5420434324222044
620240013251040
71646204105010
oct311651337500
976826243486
1027089289024
1110541219876
125300193a80
132729344005
14144da45c40
15a88321019
hex64ea5bf40

27089289024 has 112 divisors (see below), whose sum is σ = 81961987968. Its totient is φ = 7735154688.

The previous prime is 27089289011. The next prime is 27089289061. The reversal of 27089289024 is 42098298072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678922 + ... + 2689014.

It is an arithmetic number, because the mean of its divisors is an integer number (731803464).

Almost surely, 227089289024 is an apocalyptic number.

27089289024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27089289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40980993984).

27089289024 is an abundant number, since it is smaller than the sum of its proper divisors (54872698944).

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

27089289024 is a wasteful number, since it uses less digits than its factorization.

27089289024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 27089289024 in words is "twenty-seven billion, eighty-nine million, two hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1997 3994 5991 7988 10093 11982 13979 15976 20186 23964 27958 30279 31952 40372 41937 47928 55916 60558 63904 70651 80744 83874 95856 111832 121116 127808 141302 161488 167748 191712 211953 223664 242232 282604 322976 335496 383424 423906 447328 484464 565208 645952 670992 847812 894656 968928 1130416 1341984 1695624 1937856 2260832 2683968 3391248 4521664 6782496 13564992 20155721 40311442 60467163 80622884 120934326 141090047 161245768 241868652 282180094 322491536 423270141 483737304 564360188 644983072 846540282 967474608 1128720376 1289966144 1693080564 1934949216 2257440752 3386161128 3869898432 4514881504 6772322256 9029763008 13544644512 27089289024