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6682716606664 = 237619627730713
BaseRepresentation
bin110000100111111000011…
…1100110001000011001000
3212122212021000021121011001
41201033300330301003020
51333442200422403124
622113555253144344
71256544642630640
oct141176074610310
925585230247131
106682716606664
1121471403408aa
128bb1a432b0b4
1339623cba1577
14191633925520
15b8c75a39b44
hex613f0f310c8

6682716606664 has 64 divisors (see below), whose sum is σ = 14345993404800. Its totient is φ = 2858845929984.

The previous prime is 6682716606659. The next prime is 6682716606679. The reversal of 6682716606664 is 4666066172866.

It is a happy number.

It is a super-3 number, since 3×66827166066643 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6682716606596 and 6682716606605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217570572 + ... + 217601284.

It is an arithmetic number, because the mean of its divisors is an integer number (224156146950).

Almost surely, 26682716606664 is an apocalyptic number.

It is an amenable number.

6682716606664 is an abundant number, since it is smaller than the sum of its proper divisors (7663276798136).

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

6682716606664 is a wasteful number, since it uses less digits than its factorization.

6682716606664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37622 (or 37618 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 6682716606664 in words is "six trillion, six hundred eighty-two billion, seven hundred sixteen million, six hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 619 1238 2476 4333 4952 6277 8666 12554 17332 25108 30713 34664 43939 50216 61426 87878 122852 175756 214991 245704 351512 429982 859964 1719928 3885463 7770926 15541852 19011347 27198241 31083704 38022694 54396482 76045388 108792964 133079429 152090776 192785501 217585928 266158858 385571002 532317716 771142004 1064635432 1349498507 1542284008 2698997014 5397994028 10795988056 119334225119 238668450238 477336900476 835339575833 954673800952 1670679151666 3341358303332 6682716606664