Search a number
-
+
13244832216 = 23327117930241
BaseRepresentation
bin11000101010111010…
…00001100111011000
31021012001111012010100
430111131001213120
5204111134112331
610030134415400
7646135134120
oct142535014730
937161435110
1013244832216
1156873a9530
122697801560
131331025135
148d909bc80
15527bb4ae6
hex3157419d8

13244832216 has 192 divisors, whose sum is σ = 45290419200. Its totient is φ = 3396556800.

The previous prime is 13244832143. The next prime is 13244832239. The reversal of 13244832216 is 61223844231.

13244832216 is a `hidden beast` number, since 1 + 324 + 4 + 8 + 322 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422856 + ... + 453096.

It is an arithmetic number, because the mean of its divisors is an integer number (235887600).

Almost surely, 213244832216 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 13244832216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22645209600).

13244832216 is an abundant number, since it is smaller than the sum of its proper divisors (32045586984).

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

13244832216 is a wasteful number, since it uses less digits than its factorization.

13244832216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30350 (or 30343 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 13244832216 in words is "thirteen billion, two hundred forty-four million, eight hundred thirty-two thousand, two hundred sixteen".