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13829508050 = 252166312
BaseRepresentation
bin11001110000100110…
…11000101111010010
31022200210122210120212
430320103120233102
5211310323224200
610204142204122
7666464610311
oct147023305722
938623583525
1013829508050
1159574400a6
12281b583642
1313c51b6977
149529b6278
1555e1a7035
hex3384d8bd2

13829508050 has 18 divisors (see below), whose sum is σ = 25724431749. Its totient is φ = 5531470600.

The previous prime is 13829508029. The next prime is 13829508071. The reversal of 13829508050 is 5080592831.

13829508050 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 (13829508029) and next prime (13829508071).

It can be written as a sum of positive squares in 2 ways, for example, as 13552917889 + 276590161 = 116417^2 + 16631^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83155.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13829507989 and 13829508007.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 823235 + ... + 839865.

Almost surely, 213829508050 is an apocalyptic number.

13829508050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13829508050 is a deficient number, since it is larger than the sum of its proper divisors (11894923699).

13829508050 is an frugal number, since it uses more digits than its factorization.

13829508050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33274 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 13829508050 in words is "thirteen billion, eight hundred twenty-nine million, five hundred eight thousand, fifty".

Divisors: 1 2 5 10 25 50 16631 33262 83155 166310 415775 831550 276590161 553180322 1382950805 2765901610 6914754025 13829508050