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11243265768 = 2332759337619
BaseRepresentation
bin10100111100010011…
…01001111011101000
31002000120012002010200
422132021221323220
5141011234001033
65055354112200
7545422116330
oct123611517350
932016162120
1011243265768
11484a591a89
12221941b660
1310a244caa7
147893160c0
1545c0e3013
hex29e269ee8

11243265768 has 96 divisors (see below), whose sum is σ = 34860196800. Its totient is φ = 3206859264.

The previous prime is 11243265757. The next prime is 11243265791. The reversal of 11243265768 is 86756234211.

11243265768 is a `hidden beast` number, since 1 + 12 + 43 + 26 + 576 + 8 = 666.

It is a super-2 number, since 2×112432657682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280063 + ... + 317681.

It is an arithmetic number, because the mean of its divisors is an integer number (363127050).

Almost surely, 211243265768 is an apocalyptic number.

11243265768 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 11243265768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430098400).

11243265768 is an abundant number, since it is smaller than the sum of its proper divisors (23616931032).

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

11243265768 is a wasteful number, since it uses less digits than its factorization.

11243265768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38231 (or 38224 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

Adding to 11243265768 its reverse (86756234211), we get a palindrome (97999499979).

The spelling of 11243265768 in words is "eleven billion, two hundred forty-three million, two hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 593 1186 1779 2372 3558 4151 4744 5337 7116 8302 10674 12453 14232 16604 21348 24906 33208 37359 37619 42696 49812 74718 75238 99624 112857 149436 150476 225714 263333 298872 300952 338571 451428 526666 677142 789999 902856 1053332 1354284 1579998 2106664 2369997 2708568 3159996 4739994 6319992 9479988 18959976 22308067 44616134 66924201 89232268 133848402 156156469 178464536 200772603 267696804 312312938 401545206 468469407 535393608 624625876 803090412 936938814 1249251752 1405408221 1606180824 1873877628 2810816442 3747755256 5621632884 11243265768