Search a number
-
+
27193607220 = 22351395336583
BaseRepresentation
bin11001010100110111…
…011000010000110100
32121012011120101012210
4121110313120100310
5421143030412340
620254221213420
71651611563463
oct312467302064
977164511183
1027193607220
111059509a65a
12532b101270
132744b3a160
14145d83c9da
15a9257a180
hex654dd8434

27193607220 has 96 divisors (see below), whose sum is σ = 82087471872. Its totient is φ = 6686604288.

The previous prime is 27193607153. The next prime is 27193607251. The reversal of 27193607220 is 2270639172.

It is a super-2 number, since 2×271936072202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 725049 + ... + 761631.

It is an arithmetic number, because the mean of its divisors is an integer number (855077832).

Almost surely, 227193607220 is an apocalyptic number.

27193607220 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 27193607220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41043735936).

27193607220 is an abundant number, since it is smaller than the sum of its proper divisors (54893864652).

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

27193607220 is a wasteful number, since it uses less digits than its factorization.

27193607220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37561 (or 37559 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 27193607220 in words is "twenty-seven billion, one hundred ninety-three million, six hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 953 1906 2859 3812 4765 5718 9530 11436 12389 14295 19060 24778 28590 36583 37167 49556 57180 61945 73166 74334 109749 123890 146332 148668 182915 185835 219498 247780 365830 371670 438996 475579 548745 731660 743340 951158 1097490 1426737 1902316 2194980 2377895 2853474 4755790 5706948 7133685 9511580 14267370 28534740 34863599 69727198 104590797 139454396 174317995 209181594 348635990 418363188 453226787 522953985 697271980 906453574 1045907970 1359680361 1812907148 2091815940 2266133935 2719360722 4532267870 5438721444 6798401805 9064535740 13596803610 27193607220