Search a number
-
+
11336315904 = 210331789271
BaseRepresentation
bin10101000111011001…
…00111010000000000
31002021001021111221000
422203230213100000
5141204044102104
65112520332000
7550632044454
oct124354472000
932231244830
1011336315904
114898066a21
122244614000
1310b87cc144
14797818664
15465373639
hex2a3b27400

11336315904 has 352 divisors, whose sum is σ = 36079603200. Its totient is φ = 3503554560.

The previous prime is 11336315863. The next prime is 11336315957. The reversal of 11336315904 is 40951363311.

It is a happy number.

11336315904 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 63 + 1 + 590 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 41831289 + ... + 41831559.

Almost surely, 211336315904 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 11336315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039801600).

11336315904 is an abundant number, since it is smaller than the sum of its proper divisors (24743287296).

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

11336315904 is a wasteful number, since it uses less digits than its factorization.

11336315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 11336315904 in words is "eleven billion, three hundred thirty-six million, three hundred fifteen thousand, nine hundred four".