Search a number
-
+
27381435620 = 22571189199777
BaseRepresentation
bin11001100000000011…
…111000110011100100
32121200021000001100012
4121200003320303210
5422034121414440
620325011105352
71656352235240
oct314003706344
977607001305
1027381435620
1110681119940
125381ba2258
132774a22316
14147a773420
15aa3ccce65
hex6600f8ce4

27381435620 has 96 divisors (see below), whose sum is σ = 72495440640. Its totient is φ = 8438538240.

The previous prime is 27381435583. The next prime is 27381435671. The reversal of 27381435620 is 2653418372.

It is a super-2 number, since 2×273814356202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37172 + ... + 236948.

It is an arithmetic number, because the mean of its divisors is an integer number (755160840).

Almost surely, 227381435620 is an apocalyptic number.

27381435620 is a gapful number since it is divisible by the number (20) 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 27381435620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247720320).

27381435620 is an abundant number, since it is smaller than the sum of its proper divisors (45114005020).

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

27381435620 is a wasteful number, since it uses less digits than its factorization.

27381435620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199893 (or 199891 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 27381435620 in words is "twenty-seven billion, three hundred eighty-one million, four hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 68530 137060 199777 399554 799108 998885 1398439 1997770 2197547 2796878 3995540 4395094 5593756 6992195 8790188 10987735 13984390 15382829 17780153 21975470 27968780 30765658 35560306 43950940 61531316 71120612 76914145 88900765 124461071 153828290 177801530 195581683 248922142 307656580 355603060 391163366 497844284 622305355 782326732 977908415 1244610710 1369071781 1955816830 2489221420 2738143562 3911633660 5476287124 6845358905 13690717810 27381435620