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13827929115 = 357211131771109
BaseRepresentation
bin11001110000011010…
…10111010000011011
31022200200200120200210
430320031113100123
5211304422212430
610204044302203
7666445313100
oct147015272033
938620616623
1013827929115
1159565618a0
12281ab41963
1313c4a830a0
149526c4aa7
1555de942b0
hex33835741b

13827929115 has 384 divisors, whose sum is σ = 32763709440. Its totient is φ = 4877107200.

The previous prime is 13827929113. The next prime is 13827929131. The reversal of 13827929115 is 51192972831.

It is a happy number.

13827929115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13827929115 - 21 = 13827929113 is a prime.

Its product of digits (272160) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (13827929113) 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 383 ways as a sum of consecutive naturals, for example, 126861681 + ... + 126861789.

It is an arithmetic number, because the mean of its divisors is an integer number (85322160).

Almost surely, 213827929115 is an apocalyptic number.

13827929115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13827929115 is an abundant number, since it is smaller than the sum of its proper divisors (18935780325).

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

13827929115 is a wasteful number, since it uses less digits than its factorization.

13827929115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 13827929115 in words is "thirteen billion, eight hundred twenty-seven million, nine hundred twenty-nine thousand, one hundred fifteen".