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11464241868 = 2232438389227
BaseRepresentation
bin10101010110101001…
…00111001011001100
31002120221222211100200
422223110213023030
5141434321214433
65133330253500
7554044306452
oct125324471314
932527884320
1011464241868
1149532a1662
12227b427290
13110916c891
147aa7d89d2
154716e2613
hex2ab5272cc

11464241868 has 72 divisors (see below), whose sum is σ = 30010588608. Its totient is φ = 3687532128.

The previous prime is 11464241849. The next prime is 11464241897. The reversal of 11464241868 is 86814246411.

11464241868 is a `hidden beast` number, since 1 + 1 + 46 + 424 + 186 + 8 = 666.

11464241868 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, 83871 + ... + 173097.

Almost surely, 211464241868 is an apocalyptic number.

11464241868 is a gapful number since it is divisible by the number (18) 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 11464241868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005294304).

11464241868 is an abundant number, since it is smaller than the sum of its proper divisors (18546346740).

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

11464241868 is a wasteful number, since it uses less digits than its factorization.

11464241868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89363 (or 89358 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 11464241868 in words is "eleven billion, four hundred sixty-four million, two hundred forty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 83 86 129 166 172 249 258 332 387 498 516 747 774 996 1494 1548 2988 3569 7138 10707 14276 21414 32121 42828 64242 89227 128484 178454 267681 356908 535362 803043 1070724 1606086 3212172 3836761 7405841 7673522 11510283 14811682 15347044 22217523 23020566 29623364 34530849 44435046 46041132 66652569 69061698 88870092 133305138 138123396 266610276 318451163 636902326 955353489 1273804652 1910706978 2866060467 3821413956 5732120934 11464241868