Search a number
-
+
11218870656 = 27357217433
BaseRepresentation
bin10100111001011001…
…00110000110000000
31001221212021200100000
422130230212012000
5140434012330111
65053123200000
7545004553500
oct123454460600
931855250300
1011218870656
11483783a634
122211216000
13109a38b006
14785da5a00
15459dc4c56
hex29cb26180

11218870656 has 576 divisors, whose sum is σ = 41331260880. Its totient is φ = 3009871872.

The previous prime is 11218870613. The next prime is 11218870687. The reversal of 11218870656 is 65607881211.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25909416 + ... + 25909848.

Almost surely, 211218870656 is an apocalyptic number.

11218870656 is a gapful number since it is divisible by the number (16) 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 11218870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665630440).

11218870656 is an abundant number, since it is smaller than the sum of its proper divisors (30112390224).

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

11218870656 is an equidigital number, since it uses as much as digits as its factorization.

11218870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11218870656 in words is "eleven billion, two hundred eighteen million, eight hundred seventy thousand, six hundred fifty-six".