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14466666956 = 22719317391187
BaseRepresentation
bin11010111100100011…
…11101000111001100
31101100012120211021212
431132101331013030
5214111431320311
610351302513552
71021332432410
oct153621750714
941305524255
1014466666956
116154069005
122978a358b8
1314971c2b81
149b3472d40
1559a0b4c8b
hex35e47d1cc

14466666956 has 96 divisors (see below), whose sum is σ = 31507660800. Its totient is φ = 5671736640.

The previous prime is 14466666941. The next prime is 14466666959. The reversal of 14466666956 is 65966666441.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14466666895 and 14466666904.

It is not an unprimeable number, because it can be changed into a prime (14466666959) 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 31 ways as a sum of consecutive naturals, for example, 12186995 + ... + 12188181.

It is an arithmetic number, because the mean of its divisors is an integer number (328204800).

Almost surely, 214466666956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14466666956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753830400).

14466666956 is an abundant number, since it is smaller than the sum of its proper divisors (17040993844).

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

14466666956 is a wasteful number, since it uses less digits than its factorization.

14466666956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 59.

The spelling of 14466666956 in words is "fourteen billion, four hundred sixty-six million, six hundred sixty-six thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 739 868 1178 1187 1478 2356 2374 2956 4123 4748 5173 8246 8309 10346 14041 16492 16618 20692 22553 22909 28082 33236 36797 45106 45818 56164 73594 90212 91636 98287 147188 157871 160363 196574 257579 315742 320726 393148 435271 515158 631484 641452 699143 870542 877193 1030316 1398286 1741084 1754386 2796572 3046897 3508772 4894001 6093794 6140351 9788002 12187588 12280702 16666667 19576004 24561404 27192983 33333334 54385966 66666668 108771932 116666669 190350881 233333338 380701762 466666676 516666677 761403524 1033333354 2066666708 3616666739 7233333478 14466666956