Search a number
-
+
11423149920 = 25325713179487
BaseRepresentation
bin10101010001101111…
…10110111101100000
31002111002200010210200
422220313312331200
5141343311244140
65125301425200
7553035113040
oct125067667540
932432603720
1011423149920
114932085676
12226970b200
1311007b3010
147a517d720
1546ccc7030
hex2a8df6f60

11423149920 has 576 divisors, whose sum is σ = 48344325120. Its totient is φ = 2391773184.

The previous prime is 11423149919. The next prime is 11423149963. The reversal of 11423149920 is 2994132411.

11423149920 is a `hidden beast` number, since 1 + 1 + 423 + 149 + 92 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23455917 + ... + 23456403.

It is an arithmetic number, because the mean of its divisors is an integer number (83931120).

Almost surely, 211423149920 is an apocalyptic number.

11423149920 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 11423149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172162560).

11423149920 is an abundant number, since it is smaller than the sum of its proper divisors (36921175200).

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

11423149920 is a wasteful number, since it uses less digits than its factorization.

11423149920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11423149920 in words is "eleven billion, four hundred twenty-three million, one hundred forty-nine thousand, nine hundred twenty".