Search a number
-
+
11180499264 = 26321141193223
BaseRepresentation
bin10100110100110100…
…01110000101000000
31001212012002012200100
422122122032011000
5140344201434024
65045232522400
7544030450524
oct123232160500
931765065610
1011180499264
114818111640
1222003b0400
13109244484c
14780c57d84
154568457c9
hex29a68e140

11180499264 has 336 divisors, whose sum is σ = 36159911424. Its totient is φ = 3273523200.

The previous prime is 11180499227. The next prime is 11180499271. The reversal of 11180499264 is 46299408111.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 50136657 + ... + 50136879.

It is an arithmetic number, because the mean of its divisors is an integer number (107618784).

Almost surely, 211180499264 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 11180499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079955712).

11180499264 is an abundant number, since it is smaller than the sum of its proper divisors (24979412160).

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

11180499264 is a wasteful number, since it uses less digits than its factorization.

11180499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11180499264 in words is "eleven billion, one hundred eighty million, four hundred ninety-nine thousand, two hundred sixty-four".