Search a number
-
+
11116960344 = 233571923173
BaseRepresentation
bin10100101101001111…
…10101101001011000
31001200202112002200000
422112213311221120
5140231420212334
65035043013000
7542326414050
oct122647655130
931622462600
1011116960344
114795263936
1221a306a160
131082228b59
14776638560
15450e94299
hex2969f5a58

11116960344 has 576 divisors, whose sum is σ = 39408445440. Its totient is φ = 2872143360.

The previous prime is 11116960339. The next prime is 11116960391. The reversal of 11116960344 is 44306961111.

11116960344 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 6 + 9 + 603 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11116960299 and 11116960308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152287092 + ... + 152287164.

It is an arithmetic number, because the mean of its divisors is an integer number (68417440).

Almost surely, 211116960344 is an apocalyptic number.

11116960344 is a gapful number since it is divisible by the number (14) 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 11116960344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704222720).

11116960344 is an abundant number, since it is smaller than the sum of its proper divisors (28291485096).

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

11116960344 is a wasteful number, since it uses less digits than its factorization.

11116960344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11116960344 in words is "eleven billion, one hundred sixteen million, nine hundred sixty thousand, three hundred forty-four".