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13838149959 = 38951828277
BaseRepresentation
bin11001110001101000…
…10110100101000111
31022201101220212001120
430320310112211013
5211320031244314
610205051325023
7666631222344
oct147064264507
938641825046
1013838149959
115961302977
122822450773
1313c6c2131a
14953bc57cb
1555ed128a9
hex338d16947

13838149959 has 8 divisors (see below), whose sum is σ = 18658180080. Its totient is φ = 9121776576.

The previous prime is 13838149933. The next prime is 13838149979. The reversal of 13838149959 is 95994183831.

13838149959 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13838149959 - 221 = 13836052807 is a prime.

It is a super-3 number, since 3×138381499593 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838149909) 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, 25913872 + ... + 25914405.

It is an arithmetic number, because the mean of its divisors is an integer number (2332272510).

Almost surely, 213838149959 is an apocalyptic number.

13838149959 is a deficient number, since it is larger than the sum of its proper divisors (4820030121).

13838149959 is an equidigital number, since it uses as much as digits as its factorization.

13838149959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51828369.

The product of its digits is 8398080, while the sum is 60.

The spelling of 13838149959 in words is "thirteen billion, eight hundred thirty-eight million, one hundred forty-nine thousand, nine hundred fifty-nine".

Divisors: 1 3 89 267 51828277 155484831 4612716653 13838149959