Search a number
-
+
11304939744 = 253373371031
BaseRepresentation
bin10101000011101001…
…11011000011100000
31002011212020102221000
422201310323003200
5141123031032434
65105440032000
7550101255000
oct124164730340
932155212830
1011304939744
11488138660a
122236002600
1310b2164977
147935ac000
15462726b99
hex2a1d3b0e0

11304939744 has 384 divisors, whose sum is σ = 39529728000. Its totient is φ = 3139637760.

The previous prime is 11304939743. The next prime is 11304939749. The reversal of 11304939744 is 44793940311.

11304939744 is a `hidden beast` number, since 1 + 1 + 30 + 493 + 97 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11304939744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304939743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10964509 + ... + 10965539.

It is an arithmetic number, because the mean of its divisors is an integer number (102942000).

Almost surely, 211304939744 is an apocalyptic number.

11304939744 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 11304939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764864000).

11304939744 is an abundant number, since it is smaller than the sum of its proper divisors (28224788256).

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

11304939744 is a wasteful number, since it uses less digits than its factorization.

11304939744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 11304939744 in words is "eleven billion, three hundred four million, nine hundred thirty-nine thousand, seven hundred forty-four".