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27846641132130 = 2353721507344983
BaseRepresentation
bin1100101010011100011010…
…01001110010001001100010
310122121010001022002020010210
412111032031021302021202
512122214410112212010
6135120323105234550
75602565504124162
oct625161511621142
9118533038066123
1027846641132130
11896676aa5aa67
123158a47932a56
13126cc087a4862
146c3adb0085a2
1533454d3dbb20
hex19538d272262

27846641132130 has 96 divisors (see below), whose sum is σ = 68693109416064. Its totient is φ = 7224434509824.

The previous prime is 27846641132087. The next prime is 27846641132183. The reversal of 27846641132130 is 3123114664872.

It is a self number, because there is not a number n which added to its sum of digits gives 27846641132130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619025619 + ... + 619070601.

It is an arithmetic number, because the mean of its divisors is an integer number (715553223084).

Almost surely, 227846641132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27846641132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34346554708032).

27846641132130 is an abundant number, since it is smaller than the sum of its proper divisors (40846468283934).

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

27846641132130 is a wasteful number, since it uses less digits than its factorization.

27846641132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60140 (or 60103 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 27846641132130 in words is "twenty-seven trillion, eight hundred forty-six billion, six hundred forty-one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1369 2738 4107 6845 8214 13690 15073 20535 30146 41070 44983 45219 75365 89966 90438 134949 150730 224915 226095 269898 449830 452190 557701 674745 1115402 1349490 1664371 1673103 2788505 3328742 3346206 4993113 5577010 8321855 8365515 9986226 16643710 16731030 20634937 24965565 41269874 49931130 61581727 61904811 103174685 123163454 123809622 184745181 206349370 307908635 309524055 369490362 615817270 619048110 678028759 923725905 1356057518 1847451810 2034086277 3390143795 4068172554 6780287590 10170431385 20340862770 25087064083 50174128166 75261192249 125435320415 150522384498 250870640830 376305961245 752611922490 928221371071 1856442742142 2784664113213 4641106855355 5569328226426 9282213710710 13923320566065 27846641132130