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13827023670 = 2354310718623
BaseRepresentation
bin11001110000010011…
…11010001100110110
31022200121222120122210
430320021322030312
5211304204224140
610204013034250
7666434522235
oct147011721466
938617876583
1013827023670
115955aa3599
12281a785986
1313c4826c15
1495252ab1c
1555dd65d80
hex33827a336

13827023670 has 32 divisors (see below), whose sum is σ = 33956600832. Its totient is φ = 3601456992.

The previous prime is 13827023657. The next prime is 13827023677. The reversal of 13827023670 is 7632072831.

13827023670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827023677) 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 15 ways as a sum of consecutive naturals, for example, 5358022 + ... + 5360601.

It is an arithmetic number, because the mean of its divisors is an integer number (1061143776).

Almost surely, 213827023670 is an apocalyptic number.

13827023670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13827023670 is an abundant number, since it is smaller than the sum of its proper divisors (20129577162).

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

13827023670 is a wasteful number, since it uses less digits than its factorization.

13827023670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718676.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 13827023670 in words is "thirteen billion, eight hundred twenty-seven million, twenty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 10718623 21437246 32155869 53593115 64311738 107186230 160779345 321558690 460900789 921801578 1382702367 2304503945 2765404734 4609007890 6913511835 13827023670