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13888866888831 = 3111933765730869
BaseRepresentation
bin1100101000011100000011…
…1110100010110001111111
31211011202121000100222002010
43022013000332202301333
53310023344410420311
645312242442502303
72632303032450024
oct312070076426177
954152530328063
1013888866888831
114475265305370
121683909504993
13799939a8227c
143603209ab54b
151914345cdda6
hexca1c0fa2c7f

13888866888831 has 32 divisors (see below), whose sum is σ = 21328352697600. Its totient is φ = 7950805793280.

The previous prime is 13888866888751. The next prime is 13888866888833.

13888866888831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13888866888831 - 243 = 5092773866623 is a prime.

It is a super-2 number, since 2×138888668888312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888866888833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32654136 + ... + 33076733.

It is an arithmetic number, because the mean of its divisors is an integer number (666511021800).

Almost surely, 213888866888831 is an apocalyptic number.

13888866888831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13888866888831 is a deficient number, since it is larger than the sum of its proper divisors (7439485808769).

13888866888831 is a wasteful number, since it uses less digits than its factorization.

13888866888831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65731239.

The product of its digits is 5435817984, while the sum is 84.

The spelling of 13888866888831 in words is "thirteen trillion, eight hundred eighty-eight billion, eight hundred sixty-six million, eight hundred eighty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 337 627 1011 3707 6403 11121 19209 70433 211299 65730869 197192607 723039559 1248886511 2169118677 3746659533 13737751621 22151302853 41213254863 66453908559 243664331383 420874754207 730992994149 1262624262621 4629622296277 13888866888831