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6662112666 = 2311472817643
BaseRepresentation
bin1100011010001011…
…11100010110011010
3122012021221101111120
412031011330112122
5102121000101131
63021024110110
7324044010666
oct61505742632
918167841446
106662112666
112909652940
12135b165336
13822301101
14472b238a6
1528ed24496
hex18d17c59a

6662112666 has 64 divisors (see below), whose sum is σ = 14899562496. Its totient is φ = 1968579200.

The previous prime is 6662112649. The next prime is 6662112727.

It is a happy number.

6662112666 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 867841 + ... + 875483.

It is an arithmetic number, because the mean of its divisors is an integer number (232805664).

Almost surely, 26662112666 is an apocalyptic number.

6662112666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6662112666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449781248).

6662112666 is an abundant number, since it is smaller than the sum of its proper divisors (8237449830).

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

6662112666 is a wasteful number, since it uses less digits than its factorization.

6662112666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987.

The product of its digits is 186624, while the sum is 42.

The square root of 6662112666 is about 81621.7658838621. The cubic root of 6662112666 is about 1881.6434122744.

The spelling of 6662112666 in words is "six billion, six hundred sixty-two million, one hundred twelve thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 281 282 517 562 843 1034 1551 1686 3091 3102 6182 7643 9273 13207 15286 18546 22929 26414 39621 45858 79242 84073 145277 168146 252219 290554 359221 435831 504438 718442 871662 1077663 2147683 2155326 3951431 4295366 6443049 7902862 11854293 12886098 23624513 23708586 47249026 70873539 100941101 141747078 201882202 302823303 605646606 1110352111 2220704222 3331056333 6662112666