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11668879944 = 23321946118503
BaseRepresentation
bin10101101111000010…
…01111101001001000
31010010020001112000200
422313201033221020
5142344213124234
65205520332200
7562110562101
oct126741175110
933106045020
1011668879944
114a48862237
122317a74060
13113c68bcb7
147c9a673a8
15484665d99
hex2b784fa48

11668879944 has 96 divisors (see below), whose sum is σ = 33340507200. Its totient is φ = 3676717440.

The previous prime is 11668879931. The next prime is 11668879969. The reversal of 11668879944 is 44997886611.

11668879944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 621397 + ... + 639899.

It is an arithmetic number, because the mean of its divisors is an integer number (347296950).

Almost surely, 211668879944 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 11668879944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670253600).

11668879944 is an abundant number, since it is smaller than the sum of its proper divisors (21671627256).

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

11668879944 is a wasteful number, since it uses less digits than its factorization.

11668879944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18988 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 11668879944 in words is "eleven billion, six hundred sixty-eight million, eight hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 461 684 922 1368 1383 1844 2766 3688 4149 5532 8298 8759 11064 16596 17518 18503 26277 33192 35036 37006 52554 55509 70072 74012 78831 105108 111018 148024 157662 166527 210216 222036 315324 333054 351557 444072 630648 666108 703114 1054671 1332216 1406228 2109342 2812456 3164013 4218684 6328026 8437368 8529883 12656052 17059766 25312104 25589649 34119532 51179298 68239064 76768947 102358596 153537894 162067777 204717192 307075788 324135554 486203331 614151576 648271108 972406662 1296542216 1458609993 1944813324 2917219986 3889626648 5834439972 11668879944