Search a number
-
+
11600056116 = 22331114296833
BaseRepresentation
bin10101100110110101…
…01100111100110100
31002221102112220111000
422303122230330310
5142224103243431
65155021243300
7560313564405
oct126332547464
932842486430
1011600056116
114a12a24940
1222b8a03530
13112b34293c
147c086d9ac
1547d5bd9e6
hex2b36acf34

11600056116 has 96 divisors (see below), whose sum is σ = 32836003200. Its totient is φ = 3512194560.

The previous prime is 11600056109. The next prime is 11600056151. The reversal of 11600056116 is 61165000611.

11600056116 is a `hidden beast` number, since 1 + 1 + 600 + 0 + 56 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×116000561162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11600056116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1694236 + ... + 1701068.

It is an arithmetic number, because the mean of its divisors is an integer number (342041700).

Almost surely, 211600056116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11600056116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418001600).

11600056116 is an abundant number, since it is smaller than the sum of its proper divisors (21235947084).

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

11600056116 is a wasteful number, since it uses less digits than its factorization.

11600056116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11600056116 its reverse (61165000611), we get a palindrome (72765056727).

The spelling of 11600056116 in words is "eleven billion, six hundred million, fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1429 2858 4287 5716 6833 8574 12861 13666 15719 17148 20499 25722 27332 31438 38583 40998 47157 51444 61497 62876 75163 77166 81996 94314 122994 141471 150326 154332 184491 188628 225489 245988 282942 300652 368982 424413 450978 565884 676467 737964 848826 901956 1352934 1697652 2029401 2705868 4058802 8117604 9764357 19528714 29293071 39057428 58586142 87879213 107407927 117172284 175758426 214815854 263637639 322223781 351516852 429631708 527275278 644447562 966671343 1054550556 1288895124 1933342686 2900014029 3866685372 5800028058 11600056116