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164115666 = 233111353401
BaseRepresentation
bin10011100100000…
…11010011010010
3102102210221101000
421302003103102
5314003200131
624141322430
74031650221
oct1162032322
9372727330
10164115666
1184703590
1246b66416
1328001b80
1417b20cb8
15e61bce6
hex9c834d2

164115666 has 128 divisors (see below), whose sum is σ = 437633280. Its totient is φ = 44928000.

The previous prime is 164115659. The next prime is 164115667. The reversal of 164115666 is 666511461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 164115666.

It is not an unprimeable number, because it can be changed into a prime (164115667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409066 + ... + 409466.

It is an arithmetic number, because the mean of its divisors is an integer number (3419010).

Almost surely, 2164115666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164115666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218816640).

164115666 is an abundant number, since it is smaller than the sum of its proper divisors (273517614).

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

164115666 is a wasteful number, since it uses less digits than its factorization.

164115666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 164115666 is about 12810.7636774706. The cubic root of 164115666 is about 547.4990204524.

The spelling of 164115666 in words is "one hundred sixty-four million, one hundred fifteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 53 54 66 78 99 106 117 143 159 198 234 286 297 318 351 401 429 477 583 594 689 702 802 858 954 1166 1203 1287 1378 1431 1749 2067 2406 2574 2862 3498 3609 3861 4134 4411 5213 5247 6201 7218 7579 7722 8822 10426 10494 10827 12402 13233 15158 15639 15741 18603 21253 21654 22737 26466 31278 31482 37206 39699 42506 45474 46917 57343 63759 68211 79398 93834 114686 119097 127518 136422 140751 172029 191277 204633 233783 238194 276289 281502 344058 382554 409266 467566 516087 552578 573831 701349 828867 1032174 1147662 1402698 1548261 1657734 2104047 2486601 3039179 3096522 4208094 4973202 6078358 6312141 7459803 9117537 12624282 14919606 18235074 27352611 54705222 82057833 164115666