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13429021757 = 531402918061
BaseRepresentation
bin11001000000110111…
…01001110000111101
31021122220001222200012
430200123221300331
5210000312144012
610100314313005
7653532541634
oct144033516075
937586058605
1013429021757
115771372898
122729428765
131360234c28
1491572651b
15538e49622
hex3206e9c3d

13429021757 has 8 divisors (see below), whose sum is σ = 13684132440. Its totient is φ = 13173975360.

The previous prime is 13429021751. The next prime is 13429021763. The reversal of 13429021757 is 75712092431.

It is a happy number.

13429021757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13429021751) and next prime (13429021763).

It can be written as a sum of positive squares in 4 ways, for example, as 1663497796 + 11765523961 = 40786^2 + 108469^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13429021757 - 210 = 13429020733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13429021751) 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 7 ways as a sum of consecutive naturals, for example, 734507 + ... + 752567.

It is an arithmetic number, because the mean of its divisors is an integer number (1710516555).

Almost surely, 213429021757 is an apocalyptic number.

It is an amenable number.

13429021757 is a deficient number, since it is larger than the sum of its proper divisors (255110683).

13429021757 is a wasteful number, since it uses less digits than its factorization.

13429021757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32143.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 13429021757 in words is "thirteen billion, four hundred twenty-nine million, twenty-one thousand, seven hundred fifty-seven".

Divisors: 1 53 14029 18061 743537 957233 253377769 13429021757