Search a number
-
+
12981309250 = 2537132324809
BaseRepresentation
bin11000001011011111…
…10000111101000010
31020111200121211120111
430011233300331002
5203041203344000
65544042301534
7636455210440
oct140557607502
936450554514
1012981309250
115561679858
1226234b78aa
1312bb5594a0
148b20a1b90
1550e9adcba
hex305bf0f42

12981309250 has 128 divisors (see below), whose sum is σ = 31210583040. Its totient is φ = 3929587200.

The previous prime is 12981309203. The next prime is 12981309251. The reversal of 12981309250 is 5290318921.

12981309250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12981309251) 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 63 ways as a sum of consecutive naturals, for example, 510846 + ... + 535654.

It is an arithmetic number, because the mean of its divisors is an integer number (243832680).

Almost surely, 212981309250 is an apocalyptic number.

12981309250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12981309250 is an abundant number, since it is smaller than the sum of its proper divisors (18229273790).

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

12981309250 is a wasteful number, since it uses less digits than its factorization.

12981309250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24869 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 12981309250 in words is "twelve billion, nine hundred eighty-one million, three hundred nine thousand, two hundred fifty".

Divisors: 1 2 5 7 10 13 14 23 25 26 35 46 50 65 70 91 115 125 130 161 175 182 230 250 299 322 325 350 455 575 598 650 805 875 910 1150 1495 1610 1625 1750 2093 2275 2875 2990 3250 4025 4186 4550 5750 7475 8050 10465 11375 14950 20125 20930 22750 24809 37375 40250 49618 52325 74750 104650 124045 173663 248090 261625 322517 347326 523250 570607 620225 645034 868315 1141214 1240450 1612585 1736630 2257619 2853035 3101125 3225170 3994249 4341575 4515238 5706070 6202250 7417891 7988498 8062925 8683150 11288095 14265175 14835782 16125850 19971245 21707875 22576190 28530350 37089455 39942490 40314625 43415750 51925237 56440475 71325875 74178910 80629250 99856225 103850474 112880950 142651750 185447275 199712450 259626185 282202375 370894550 499281125 519252370 564404750 927236375 998562250 1298130925 1854472750 2596261850 6490654625 12981309250