Search a number
-
+
13747948213 is a prime number
BaseRepresentation
bin11001100110111000…
…10000101010110101
31022111010012010112011
430303130100222311
5211123433320323
610152110124221
7664454426446
oct146334205265
938433163464
1013747948213
1159153a3a7a
1227b81b0671
1313b132b5cc
14945c252cd
15556e4620d
hex333710ab5

13747948213 has 2 divisors, whose sum is σ = 13747948214. Its totient is φ = 13747948212.

The previous prime is 13747948187. The next prime is 13747948223. The reversal of 13747948213 is 31284974731.

13747948213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11750126404 + 1997821809 = 108398^2 + 44697^2 .

It is a cyclic number.

It is not a de Polignac number, because 13747948213 - 29 = 13747947701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13747948223) 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 as a sum of consecutive naturals, namely, 6873974106 + 6873974107.

It is an arithmetic number, because the mean of its divisors is an integer number (6873974107).

Almost surely, 213747948213 is an apocalyptic number.

It is an amenable number.

13747948213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13747948213 is an equidigital number, since it uses as much as digits as its factorization.

13747948213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 49.

The spelling of 13747948213 in words is "thirteen billion, seven hundred forty-seven million, nine hundred forty-eight thousand, two hundred thirteen".