Search a number
-
+
11404617620 = 225111723197673
BaseRepresentation
bin10101001111100010…
…01010011110010100
31002102210210121021012
422213301022132110
5141324040230440
65123400311352
7552421436024
oct124761123624
932383717235
1011404617620
114922678020
122263472558
1310c99c4966
147a2917a84
1546b365e65
hex2a7c4a794

11404617620 has 192 divisors, whose sum is σ = 29056237056. Its totient is φ = 3709009920.

The previous prime is 11404617617. The next prime is 11404617709. The reversal of 11404617620 is 2671640411.

11404617620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16945604 + ... + 16946276.

It is an arithmetic number, because the mean of its divisors is an integer number (151334568).

Almost surely, 211404617620 is an apocalyptic number.

11404617620 is a gapful number since it is divisible by the number (10) 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 11404617620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528118528).

11404617620 is an abundant number, since it is smaller than the sum of its proper divisors (17651619436).

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

11404617620 is a wasteful number, since it uses less digits than its factorization.

11404617620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 11404617620 in words is "eleven billion, four hundred four million, six hundred seventeen thousand, six hundred twenty".