Search a number
-
+
6686160263640 = 23345112131777171
BaseRepresentation
bin110000101001011111000…
…1101010001100111011000
3212200012011000010111110000
41201102332031101213120
51334021224011414030
622115325110453000
71260026166344124
oct141227615214730
925605130114400
106686160263640
112148648185300
128bb9a5664160
1339666b471610
1419187d018584
15b8dc8017860
hex614be3519d8

6686160263640 has 960 divisors, whose sum is σ = 28166949629280. Its totient is φ = 1408173465600.

The previous prime is 6686160263617. The next prime is 6686160263683. The reversal of 6686160263640 is 463620616866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 86602255 + ... + 86679425.

Almost surely, 26686160263640 is an apocalyptic number.

6686160263640 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 6686160263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083474814640).

6686160263640 is an abundant number, since it is smaller than the sum of its proper divisors (21480789365640).

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

6686160263640 is a wasteful number, since it uses less digits than its factorization.

6686160263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77246 (or 77222 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 6686160263640 in words is "six trillion, six hundred eighty-six billion, one hundred sixty million, two hundred sixty-three thousand, six hundred forty".