Search a number
-
+
6631211466 = 23211238916361
BaseRepresentation
bin1100010110100000…
…00100000111001010
3122010010210110000200
412023100010013022
5102040042231331
63014001513030
7323220240015
oct61320040712
918103713020
106631211466
1128a3167360
121350942776
13818aa1b89
1446c99c37c
1528c26d5e6
hex18b4041ca

6631211466 has 96 divisors (see below), whose sum is σ = 16540018560. Its totient is φ = 1900377600.

The previous prime is 6631211429. The next prime is 6631211467. The reversal of 6631211466 is 6641121366.

It is a happy number.

6631211466 is a `hidden beast` number, since 6 + 631 + 2 + 1 + 14 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6631211466.

It is not an unprimeable number, because it can be changed into a prime (6631211467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397126 + ... + 413486.

It is an arithmetic number, because the mean of its divisors is an integer number (172291860).

Almost surely, 26631211466 is an apocalyptic number.

6631211466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631211466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270009280).

6631211466 is an abundant number, since it is smaller than the sum of its proper divisors (9908807094).

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

6631211466 is a wasteful number, since it uses less digits than its factorization.

6631211466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492 (or 16489 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6631211466 is about 81432.2507732655. The cubic root of 6631211466 is about 1878.7296633536.

The spelling of 6631211466 in words is "six billion, six hundred thirty-one million, two hundred eleven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 89 99 138 178 198 207 253 267 414 506 534 759 801 979 1518 1602 1958 2047 2277 2937 4094 4554 5874 6141 8811 12282 16361 17622 18423 22517 32722 36846 45034 49083 67551 98166 135102 147249 179971 202653 294498 359942 376303 405306 539913 752606 1079826 1128909 1456129 1619739 2257818 2912258 3239478 3386727 4139333 4368387 6773454 8278666 8736774 12417999 13105161 16017419 24835998 26210322 32034838 33490967 37253997 48052257 66981934 74507994 96104514 100472901 144156771 200945802 288313542 301418703 368400637 602837406 736801274 1105201911 2210403822 3315605733 6631211466