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6631221366 = 2327114784431
BaseRepresentation
bin1100010110100000…
…00110100001110110
3122010010210221121100
412023100012201312
5102040043040431
63014002030530
7323220310620
oct61320064166
918103727540
106631221366
1128a3173840
121350948446
13818aa6533
1446c9a1c10
1528c2714e6
hex18b406876

6631221366 has 48 divisors (see below), whose sum is σ = 17912913408. Its totient is φ = 1722394800.

The previous prime is 6631221329. The next prime is 6631221419.

6631221366 is a `hidden beast` number, since 6 + 631 + 2 + 2 + 13 + 6 + 6 = 666.

6631221366 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6631221366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2390830 + ... + 2393601.

It is an arithmetic number, because the mean of its divisors is an integer number (373185696).

Almost surely, 26631221366 is an apocalyptic number.

6631221366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6631221366 is an abundant number, since it is smaller than the sum of its proper divisors (11281692042).

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

6631221366 is a wasteful number, since it uses less digits than its factorization.

6631221366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784457 (or 4784454 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6631221366 is about 81432.3115599699. The cubic root of 6631221366 is about 1878.7305982966.

It can be divided in two parts, 66312 and 21366, that added together give a palindrome (87678).

The spelling of 6631221366 in words is "six billion, six hundred thirty-one million, two hundred twenty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 4784431 9568862 14353293 28706586 33491017 43059879 52628741 66982034 86119758 100473051 105257482 157886223 200946102 301419153 315772446 368401187 473658669 602838306 736802374 947317338 1105203561 2210407122 3315610683 6631221366