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13437999306 = 234139596767
BaseRepresentation
bin11001000001111011…
…11001100011001010
31021200111222002120000
430200331321203022
5210010111434211
610101234543430
7654002052354
oct144075714312
937614862500
1013437999306
115776444856
122730437b76
1313620592a4
149169c20d4
15539b1e656
hex320f798ca

13437999306 has 40 divisors (see below), whose sum is σ = 30327749760. Its totient is φ = 4447100232.

The previous prime is 13437999301. The next prime is 13437999371. The reversal of 13437999306 is 60399973431.

13437999306 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 not an unprimeable number, because it can be changed into a prime (13437999301) 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 19 ways as a sum of consecutive naturals, for example, 275866 + ... + 320901.

It is an arithmetic number, because the mean of its divisors is an integer number (758193744).

Almost surely, 213437999306 is an apocalyptic number.

13437999306 is an abundant number, since it is smaller than the sum of its proper divisors (16889750454).

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

13437999306 is a wasteful number, since it uses less digits than its factorization.

13437999306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596920 (or 596911 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 13437999306 in words is "thirteen billion, four hundred thirty-seven million, nine hundred ninety-nine thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3753 7506 11259 22518 596767 1193534 1790301 3580602 5370903 10741806 16112709 32225418 48338127 82950613 96676254 165901226 248851839 497703678 746555517 1493111034 2239666551 4479333102 6718999653 13437999306