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6696666966 = 2311909111161
BaseRepresentation
bin1100011110010011…
…10000011101010110
3122021200221221002110
412033021300131112
5102203321320331
63024300451450
7324643505253
oct61711603526
918250857073
106696666966
112927104010
12136a849b86
1382950c042
1447755a42a
15292d9c946
hex18f270756

6696666966 has 32 divisors (see below), whose sum is σ = 14613826176. Its totient is φ = 2028888000.

The previous prime is 6696666943. The next prime is 6696666973.

6696666966 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6696666897 and 6696666906.

It is a congruent number.

It is an unprimeable number.

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, 594426 + ... + 605586.

It is an arithmetic number, because the mean of its divisors is an integer number (456682068).

Almost surely, 26696666966 is an apocalyptic number.

6696666966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6696666966 is an abundant number, since it is smaller than the sum of its proper divisors (7917159210).

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

6696666966 is a wasteful number, since it uses less digits than its factorization.

6696666966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268.

The product of its digits is 136048896, while the sum is 66.

The square root of 6696666966 is about 81833.1654404252. The cubic root of 6696666966 is about 1884.8909698257.

The spelling of 6696666966 in words is "six billion, six hundred ninety-six million, six hundred sixty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 9091 11161 18182 22322 27273 33483 54546 66966 100001 122771 200002 245542 300003 368313 600006 736626 101464651 202929302 304393953 608787906 1116111161 2232222322 3348333483 6696666966