Search a number
-
+
66116266866 = 23213223393281
BaseRepresentation
bin111101100100110101…
…100010101101110010
320022122202102100120200
4331210311202231302
52040401231014431
650212353020030
74530264665346
oct754465425562
9208582370520
1066116266866
11260489aa971
1210992254616
136308943900
1432b2cc9626
151abe6a4ee6
hexf64d62b72

66116266866 has 72 divisors (see below), whose sum is σ = 155786350356. Its totient is φ = 20255938560.

The previous prime is 66116266829. The next prime is 66116266897. The reversal of 66116266866 is 66866261166.

66116266866 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 626 + 6 + 8 + 6 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19622126241 + 46494140625 = 140079^2 + 215625^2 .

It is a super-2 number, since 2×661162668662 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662146 + ... + 755426.

Almost surely, 266116266866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66116266866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77893175178).

66116266866 is an abundant number, since it is smaller than the sum of its proper divisors (89670083490).

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

66116266866 is a wasteful number, since it uses less digits than its factorization.

66116266866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93548 (or 93532 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 66116266866 in words is "sixty-six billion, one hundred sixteen million, two hundred sixty-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 233 234 338 466 507 699 1014 1398 1521 2097 3029 3042 4194 6058 9087 18174 27261 39377 54522 78754 93281 118131 186562 236262 279843 354393 559686 708786 839529 1212653 1679058 2425306 3637959 7275918 10913877 15764489 21734473 21827754 31528978 43468946 47293467 65203419 94586934 130406838 141880401 195610257 282548149 283760802 391220514 565096298 847644447 1695288894 2542933341 3673125937 5085866682 7346251874 11019377811 22038755622 33058133433 66116266866