Search a number
-
+
13947506920 = 235348687673
BaseRepresentation
bin11001111110101011…
…00001000011101000
31100000000200202121101
430333111201003220
5212031030210140
610223555251144
71002426565324
oct147725410350
940000622541
1013947506920
115a08005426
122852ba9ab4
13141378ca99
14964530984
1556971499a
hex33f5610e8

13947506920 has 16 divisors (see below), whose sum is σ = 31381890660. Its totient is φ = 5579002752.

The previous prime is 13947506917. The next prime is 13947506927. The reversal of 13947506920 is 2960574931.

It is a happy number.

13947506920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11320534404 + 2626972516 = 106398^2 + 51254^2 .

It is not an unprimeable number, because it can be changed into a prime (13947506927) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 174343797 + ... + 174343876.

Almost surely, 213947506920 is an apocalyptic number.

13947506920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13947506920 is an abundant number, since it is smaller than the sum of its proper divisors (17434383740).

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

13947506920 is a wasteful number, since it uses less digits than its factorization.

13947506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348687684 (or 348687680 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 13947506920 in words is "thirteen billion, nine hundred forty-seven million, five hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 348687673 697375346 1394750692 1743438365 2789501384 3486876730 6973753460 13947506920