Search a number
-
+
241994977695648 = 25322336533058227
BaseRepresentation
bin110111000001011111011000…
…101011101101011110100000
31011201211111100002001102110200
4313001133120223231132200
5223204321203242230043
62214402542533225200
7101654363066114562
oct6701373053553640
91151744302042420
10241994977695648
117011a548127651
12231842b8492200
13a50504a74cb88
1443a8895963332
151ce9ca0dc87d3
hexdc17d8aed7a0

241994977695648 has 72 divisors (see below), whose sum is σ = 718093792529568. Its totient is φ = 77157818973312.

The previous prime is 241994977695619. The next prime is 241994977695649. The reversal of 241994977695648 is 846596779499142.

241994977695648 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 9 + 497 + 7 + 69 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (241994977695649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18266522490 + ... + 18266535737.

It is an arithmetic number, because the mean of its divisors is an integer number (9973524896244).

Almost surely, 2241994977695648 is an apocalyptic number.

It is an amenable number.

241994977695648 is an abundant number, since it is smaller than the sum of its proper divisors (476098814833920).

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

241994977695648 is a wasteful number, since it uses less digits than its factorization.

241994977695648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36533058266 (or 36533058255 counting only the distinct ones).

The product of its digits is 59256852480, while the sum is 90.

The spelling of 241994977695648 in words is "two hundred forty-one trillion, nine hundred ninety-four billion, nine hundred seventy-seven million, six hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 36533058227 73066116454 109599174681 146132232908 219198349362 292264465816 328797524043 438396698724 584528931632 657595048086 840260339221 876793397448 1169057863264 1315190096172 1680520678442 1753586794896 2520781017663 2630380192344 3361041356884 3507173589792 5041562035326 5260760384688 6722082713768 7562343052989 10083124070652 10521520769376 13444165427536 15124686105978 20166248141304 26888330855072 30249372211956 40332496282608 60498744423912 80664992565216 120997488847824 241994977695648