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11666456514 = 23311312171571
BaseRepresentation
bin10101101110101111…
…11111111111000010
31010010001111101201000
422313113333333002
5142343103102024
65205352352430
7562051146516
oct126727777702
933101441630
1011666456514
114a474574a9
1223170a5716
13113c020c0b
147c95d6146
15484337cc9
hex2b75fffc2

11666456514 has 64 divisors (see below), whose sum is σ = 26193041280. Its totient is φ = 3848785920.

The previous prime is 11666456489. The next prime is 11666456521. The reversal of 11666456514 is 41565466611.

11666456514 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116664565142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11666456514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7425349 + ... + 7426919.

It is an arithmetic number, because the mean of its divisors is an integer number (409266270).

Almost surely, 211666456514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666456514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096520640).

11666456514 is an abundant number, since it is smaller than the sum of its proper divisors (14526584766).

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

11666456514 is a wasteful number, since it uses less digits than its factorization.

11666456514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2906 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 11666456514 in words is "eleven billion, six hundred sixty-six million, four hundred fifty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 1217 1571 2034 2434 3051 3142 3651 4713 6102 7302 9426 10953 14139 21906 28278 32859 42417 65718 84834 137521 177523 275042 355046 412563 532569 825126 1065138 1237689 1597707 1911907 2475378 3195414 3713067 3823814 4793121 5735721 7426134 9586242 11471442 17207163 34414326 51621489 103242978 216045491 432090982 648136473 1296272946 1944409419 3888818838 5833228257 11666456514