Search a number
-
+
11281122696 = 2333730741381
BaseRepresentation
bin10101000000110100…
…00100010110001000
31002010012102102002010
422200122010112020
5141100431411241
65103225335520
7546361650354
oct124032042610
932105372063
1011281122696
1148699994a8
12222a0375a0
1310aa24603c
1479036c464
154605bed16
hex2a0684588

11281122696 has 64 divisors (see below), whose sum is σ = 29060095680. Its totient is φ = 3646736640.

The previous prime is 11281122691. The next prime is 11281122707. The reversal of 11281122696 is 69622118211.

It is not an unprimeable number, because it can be changed into a prime (11281122691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251926 + ... + 293306.

It is an arithmetic number, because the mean of its divisors is an integer number (454063995).

Almost surely, 211281122696 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 11281122696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530047840).

11281122696 is an abundant number, since it is smaller than the sum of its proper divisors (17778972984).

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

11281122696 is a wasteful number, since it uses less digits than its factorization.

11281122696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41734 (or 41730 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 11281122696 in words is "eleven billion, two hundred eighty-one million, one hundred twenty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 307 444 614 888 921 1228 1842 2456 3684 7368 11359 22718 34077 41381 45436 68154 82762 90872 124143 136308 165524 248286 272616 331048 496572 993144 1531097 3062194 4593291 6124388 9186582 12248776 12703967 18373164 25407934 36746328 38111901 50815868 76223802 101631736 152447604 304895208 470046779 940093558 1410140337 1880187116 2820280674 3760374232 5640561348 11281122696