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13678893459 = 32721119148411
BaseRepresentation
bin11001011110101001…
…10101100110010011
31022022022020210012200
430233110311212103
5211003244042314
610141202054243
7662655450600
oct145724654623
938268223180
1013678893459
11588a419130
12279904a383
13139cc310ca
1493a9ab6a7
15550d55709
hex32f535993

13678893459 has 72 divisors (see below), whose sum is σ = 26393590080. Its totient is φ = 6731877600.

The previous prime is 13678893407. The next prime is 13678893461. The reversal of 13678893459 is 95439887631.

13678893459 is a `hidden beast` number, since 1 + 36 + 78 + 89 + 3 + 459 = 666.

It is not a de Polignac number, because 13678893459 - 211 = 13678891411 is a prime.

It is a super-2 number, since 2×136788934592 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13678893396 and 13678893405.

It is not an unprimeable number, because it can be changed into a prime (13678893479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17964 + ... + 166374.

It is an arithmetic number, because the mean of its divisors is an integer number (366577640).

Almost surely, 213678893459 is an apocalyptic number.

13678893459 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13678893459 is a deficient number, since it is larger than the sum of its proper divisors (12714696621).

13678893459 is a wasteful number, since it uses less digits than its factorization.

13678893459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148461 (or 148451 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 13678893459 in words is "thirteen billion, six hundred seventy-eight million, eight hundred ninety-three thousand, four hundred fifty-nine".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 209 231 399 441 539 627 693 931 1197 1463 1617 1881 2793 4389 4851 8379 10241 13167 30723 92169 148411 445233 1038877 1335699 1632521 2819809 3116631 4897563 7272139 8459427 9349893 11427647 14692689 19738663 21816417 25378281 31017899 34282941 59215989 65449251 79993529 93053697 102848823 138170641 177647967 217125293 239980587 279161091 414511923 651375879 719941761 1243535769 1519877051 1954127637 4559631153 13678893459