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264156066 = 2361031759
BaseRepresentation
bin11111011111010…
…11001110100010
3200102001112000000
433233223032202
51020110443231
642113440430
76355201206
oct1757531642
9612045000
10264156066
111261223a9
1274570116
134295ab85
1427122b06
15182cd6e6
hexfbeb3a2

264156066 has 56 divisors (see below), whose sum is σ = 600188160. Its totient is φ = 87147576.

The previous prime is 264156043. The next prime is 264156077. The reversal of 264156066 is 660651462.

It is a happy number.

264156066 is a `hidden beast` number, since 2 + 6 + 41 + 5 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 264156066.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 149295 + ... + 151053.

Almost surely, 2264156066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264156066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300094080).

264156066 is an abundant number, since it is smaller than the sum of its proper divisors (336032094).

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

264156066 is a wasteful number, since it uses less digits than its factorization.

264156066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264156066 is about 16252.8786988644. The cubic root of 264156066 is about 641.6332519696.

The spelling of 264156066 in words is "two hundred sixty-four million, one hundred fifty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 729 927 1458 1759 1854 2781 3518 5277 5562 8343 10554 15831 16686 25029 31662 47493 50058 75087 94986 142479 150174 181177 284958 362354 427437 543531 854874 1087062 1282311 1630593 2564622 3261186 4891779 9783558 14675337 29350674 44026011 88052022 132078033 264156066