Search a number
-
+
13339923696 = 2434118531097
BaseRepresentation
bin11000110110001111…
…10001010011110000
31021102200102100010000
430123013301103300
5204310010024241
610043412510000
7651401323551
oct143307612360
937380370100
1013339923696
115726048130
12270361b300
13134793a698
14907972328
155311e9eb6
hex31b1f14f0

13339923696 has 200 divisors, whose sum is σ = 42207392304. Its totient is φ = 4033981440.

The previous prime is 13339923683. The next prime is 13339923743. The reversal of 13339923696 is 69632993331.

It is a happy number.

13339923696 is a `hidden beast` number, since 13 + 3 + 399 + 236 + 9 + 6 = 666.

13339923696 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).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12159820 + ... + 12160916.

Almost surely, 213339923696 is an apocalyptic number.

13339923696 is a gapful number since it is divisible by the number (16) 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 13339923696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103696152).

13339923696 is an abundant number, since it is smaller than the sum of its proper divisors (28867468608).

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

13339923696 is a wasteful number, since it uses less digits than its factorization.

13339923696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1966 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The spelling of 13339923696 in words is "thirteen billion, three hundred thirty-nine million, nine hundred twenty-three thousand, six hundred ninety-six".