Search a number
-
+
11683041612 = 223111091375927
BaseRepresentation
bin10101110000101110…
…10001000101001100
31010011012201000011220
422320113101011030
5142411324312422
65211144043340
7562342133544
oct127027210514
933135630156
1011683041612
114a558550a0
122320763550
1311425a9b98
147cb8b2324
15485a11e5c
hex2b85d114c

11683041612 has 96 divisors (see below), whose sum is σ = 30235645440. Its totient is φ = 3481643520.

The previous prime is 11683041607. The next prime is 11683041619. The reversal of 11683041612 is 21614038611.

It is a super-2 number, since 2×116830416122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11683041619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968193 + ... + 1974119.

It is an arithmetic number, because the mean of its divisors is an integer number (314954640).

Almost surely, 211683041612 is an apocalyptic number.

11683041612 is a gapful number since it is divisible by the number (12) 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 11683041612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117822720).

11683041612 is an abundant number, since it is smaller than the sum of its proper divisors (18552603828).

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

11683041612 is a wasteful number, since it uses less digits than its factorization.

11683041612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11683041612 in words is "eleven billion, six hundred eighty-three million, forty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 137 218 274 327 411 436 548 654 822 1199 1308 1507 1644 2398 3014 3597 4521 4796 5927 6028 7194 9042 11854 14388 14933 17781 18084 23708 29866 35562 44799 59732 65197 71124 89598 130394 164263 179196 195591 260788 328526 391182 492789 646043 657052 782364 811999 985578 1292086 1623998 1938129 1971156 2435997 2584172 3247996 3876258 4871994 7106473 7752516 8931989 9743988 14212946 17863978 21319419 26795967 28425892 35727956 42638838 53591934 85277676 88507891 107183868 177015782 265523673 354031564 531047346 973586801 1062094692 1947173602 2920760403 3894347204 5841520806 11683041612