Search a number
-
+
13455779832 = 23331122941433
BaseRepresentation
bin11001000100000011…
…01110011111111000
31021201202102102212000
430202001232133320
5210024134423312
610103112021000
7654306145545
oct144201563770
937652372760
1013455779832
115785489600
122736391760
131365943401
149190cdbcc
1553b482adc
hex32206e7f8

13455779832 has 384 divisors, whose sum is σ = 43637832000. Its totient is φ = 3832012800.

The previous prime is 13455779749. The next prime is 13455779851. The reversal of 13455779832 is 23897755431.

13455779832 is a `hidden beast` number, since 1 + 3 + 4 + 557 + 7 + 9 + 83 + 2 = 666.

13455779832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6350400) is a multiple of the sum of its prime factors (540).

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 95 ways as a sum of consecutive naturals, for example, 31075488 + ... + 31075920.

Almost surely, 213455779832 is an apocalyptic number.

13455779832 is a gapful number since it is divisible by the number (12) 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 13455779832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818916000).

13455779832 is an abundant number, since it is smaller than the sum of its proper divisors (30182052168).

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

13455779832 is a wasteful number, since it uses less digits than its factorization.

13455779832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 13455779832 in words is "thirteen billion, four hundred fifty-five million, seven hundred seventy-nine thousand, eight hundred thirty-two".