Search a number
-
+
11916323328 = 293721319641
BaseRepresentation
bin10110001100100010…
…01010101000000000
31010202110122221112110
423012101022220000
5143401034321303
65250240055320
7601204035300
oct130621125000
933673587473
1011916323328
1150654aa0a8
122386904540
13117ba17ac0
14810879600
1549b242703
hex2c644aa00

11916323328 has 480 divisors, whose sum is σ = 41927941440. Its totient is φ = 2972712960.

The previous prime is 11916323323. The next prime is 11916323333. The reversal of 11916323328 is 82332361911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11916323323) and next prime (11916323333).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11916323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18589888 + ... + 18590528.

It is an arithmetic number, because the mean of its divisors is an integer number (87349878).

Almost surely, 211916323328 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 11916323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963970720).

11916323328 is an abundant number, since it is smaller than the sum of its proper divisors (30011618112).

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

11916323328 is a wasteful number, since it uses less digits than its factorization.

11916323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 685 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The spelling of 11916323328 in words is "eleven billion, nine hundred sixteen million, three hundred twenty-three thousand, three hundred twenty-eight".