Search a number
-
+
13227024384 = 2133378543
BaseRepresentation
bin11000101000110010…
…00110000000000000
31021010210222110101000
430110121012000000
5204042104240014
610024301012000
7645530565210
oct142431060000
937123873330
1013227024384
115678346212
122691854000
13132a42b762
148d6984240
15526348509
hex314646000

13227024384 has 224 divisors, whose sum is σ = 44792432640. Its totient is φ = 3778707456.

The previous prime is 13227024383. The next prime is 13227024443. The reversal of 13227024384 is 48342072231.

It is a happy number.

13227024384 is a `hidden beast` number, since 1 + 3 + 2 + 270 + 2 + 4 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227024383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544017 + ... + 1552559.

Almost surely, 213227024384 is an apocalyptic number.

13227024384 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 13227024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396216320).

13227024384 is an abundant number, since it is smaller than the sum of its proper divisors (31565408256).

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

13227024384 is an frugal number, since it uses more digits than its factorization.

13227024384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13227024384 in words is "thirteen billion, two hundred twenty-seven million, twenty-four thousand, three hundred eighty-four".