Search a number
-
+
11112703888 = 241121317191367
BaseRepresentation
bin10100101100101111…
…00110011110010000
31001200110111211220111
422112113212132100
5140224323011023
65034411451104
7542245265416
oct122627463620
931613454814
1011112703888
114792916a00
1221a1756a94
131081398640
14775c4b2b6
1545090300d
hex2965e6790

11112703888 has 240 divisors, whose sum is σ = 28426930560. Its totient is φ = 4154388480.

The previous prime is 11112703883. The next prime is 11112703963. The reversal of 11112703888 is 88830721111.

11112703888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11112703888.

It is not an unprimeable number, because it can be changed into a prime (11112703883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8128581 + ... + 8129947.

It is an arithmetic number, because the mean of its divisors is an integer number (118445544).

Almost surely, 211112703888 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 11112703888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213465280).

11112703888 is an abundant number, since it is smaller than the sum of its proper divisors (17314226672).

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

11112703888 is a wasteful number, since it uses less digits than its factorization.

11112703888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 40.

The spelling of 11112703888 in words is "eleven billion, one hundred twelve million, seven hundred three thousand, eight hundred eighty-eight".