Search a number
-
+
11841951680 = 265132218971
BaseRepresentation
bin10110000011101010…
…11101011111000000
31010120021201110210222
423001311131133000
5143223014423210
65235022042212
7566311633316
oct130165353700
933507643728
1011841951680
115027522629
122365a19368
1311694a8500
14804a3a0b6
15494951655
hex2c1d5d7c0

11841951680 has 84 divisors (see below), whose sum is σ = 30534769512. Its totient is φ = 4372392960.

The previous prime is 11841951637. The next prime is 11841951701. The reversal of 11841951680 is 8615914811.

11841951680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55406 + ... + 163565.

Almost surely, 211841951680 is an apocalyptic number.

11841951680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11841951680 is an abundant number, since it is smaller than the sum of its proper divisors (18692817832).

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

11841951680 is a wasteful number, since it uses less digits than its factorization.

11841951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219014 (or 218991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 44.

The spelling of 11841951680 in words is "eleven billion, eight hundred forty-one million, nine hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2704 3380 4160 5408 6760 10816 13520 27040 54080 218971 437942 875884 1094855 1751768 2189710 2846623 3503536 4379420 5693246 7007072 8758840 11386492 14014144 14233115 17517680 22772984 28466230 35035360 37006099 45545968 56932460 70070720 74012198 91091936 113864920 148024396 182183872 185030495 227729840 296048792 370060990 455459680 592097584 740121980 910919360 1184195168 1480243960 2368390336 2960487920 5920975840 11841951680