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13827757273 = 112443951437
BaseRepresentation
bin11001110000011001…
…01101010011011001
31022200200100211222021
430320030231103121
5211304401213043
610204040454441
7666443666101
oct147014552331
938620324867
1013827757273
115956454780
12281aa7a421
1313c4a22ac5
1495267c201
1555de5d3ed
hex33832d4d9

13827757273 has 8 divisors (see below), whose sum is σ = 15085736640. Its totient is φ = 12569929680.

The previous prime is 13827757231. The next prime is 13827757277. The reversal of 13827757273 is 37275772831.

13827757273 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 a de Polignac number, because none of the positive numbers 2k-13827757273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13827757273.

It is not an unprimeable number, because it can be changed into a prime (13827757277) 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, 243111 + ... + 294547.

It is an arithmetic number, because the mean of its divisors is an integer number (1885717080).

Almost surely, 213827757273 is an apocalyptic number.

It is an amenable number.

13827757273 is a deficient number, since it is larger than the sum of its proper divisors (1257979367).

13827757273 is a wasteful number, since it uses less digits than its factorization.

13827757273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75887.

The product of its digits is 3457440, while the sum is 52.

The spelling of 13827757273 in words is "thirteen billion, eight hundred twenty-seven million, seven hundred fifty-seven thousand, two hundred seventy-three".

Divisors: 1 11 24439 51437 268829 565807 1257068843 13827757273