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6666337140 = 22351393832087
BaseRepresentation
bin1100011010101100…
…00011101101110100
3122012120220000101120
412031112003231310
5102123040242030
63021254423540
7324124634151
oct61526035564
918176800346
106666337140
112910a78841
121360661bb0
1382314cbb8
14473503228
152903ab010
hex18d583b74

6666337140 has 96 divisors (see below), whose sum is σ = 18858147840. Its totient is φ = 1759449216.

The previous prime is 6666337129. The next prime is 6666337141. The reversal of 6666337140 is 417336666.

It is a junction number, because it is equal to n+sod(n) for n = 6666337092 and 6666337101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6666337141) by changing a digit.

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, 3193177 + ... + 3195263.

It is an arithmetic number, because the mean of its divisors is an integer number (196439040).

Almost surely, 26666337140 is an apocalyptic number.

6666337140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6666337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429073920).

6666337140 is an abundant number, since it is smaller than the sum of its proper divisors (12191810700).

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

6666337140 is a wasteful number, since it uses less digits than its factorization.

6666337140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 6666337140 is about 81647.6401373610. The cubic root of 6666337140 is about 1882.0410476045.

The spelling of 6666337140 in words is "six billion, six hundred sixty-six million, three hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 383 417 556 695 766 834 1149 1390 1532 1668 1915 2085 2087 2298 2780 3830 4170 4174 4596 5745 6261 7660 8340 8348 10435 11490 12522 20870 22980 25044 31305 41740 53237 62610 106474 125220 159711 212948 266185 290093 319422 532370 580186 638844 798555 799321 870279 1064740 1160372 1450465 1597110 1598642 1740558 2397963 2900930 3194220 3197284 3481116 3996605 4351395 4795926 5801860 7993210 8702790 9591852 11989815 15986420 17405580 23979630 47959260 111105619 222211238 333316857 444422476 555528095 666633714 1111056190 1333267428 1666584285 2222112380 3333168570 6666337140