Search a number
-
+
6493621212 = 223213313712097
BaseRepresentation
bin1100000110000110…
…01100101111011100
3121202112220010200100
412003003030233130
5101244331334322
62552204501100
7316626604161
oct60303145734
917675803610
106493621212
112832530801
12131284a790
137c6429620
144585c4068
15280140dac
hex1830ccbdc

6493621212 has 144 divisors (see below), whose sum is σ = 18742028032. Its totient is φ = 1881169920.

The previous prime is 6493621193. The next prime is 6493621213. The reversal of 6493621212 is 2121263946.

It is a happy number.

6493621212 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 621 + 21 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493621213) 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, 530748 + ... + 542844.

Almost surely, 26493621212 is an apocalyptic number.

6493621212 is a gapful number since it is divisible by the number (62) 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 6493621212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371014016).

6493621212 is an abundant number, since it is smaller than the sum of its proper divisors (12248406820).

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

6493621212 is a wasteful number, since it uses less digits than its factorization.

6493621212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12183 counting only the distinct ones).

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

The square root of 6493621212 is about 80583.0082089270. The cubic root of 6493621212 is about 1865.6448940515.

The spelling of 6493621212 in words is "six billion, four hundred ninety-three million, six hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 37 39 52 62 74 78 93 111 117 124 148 156 186 222 234 279 333 372 403 444 468 481 558 666 806 962 1116 1147 1209 1332 1443 1612 1924 2294 2418 2886 3441 3627 4329 4588 4836 5772 6882 7254 8658 10323 12097 13764 14508 14911 17316 20646 24194 29822 36291 41292 44733 48388 59644 72582 89466 108873 134199 145164 157261 178932 217746 268398 314522 375007 435492 447589 471783 536796 629044 750014 895178 943566 1125021 1342767 1415349 1500028 1790356 1887132 2250042 2685534 2830698 3375063 4028301 4500084 4875091 5371068 5661396 5818657 6750126 8056602 9750182 11637314 13500252 13875259 14625273 16113204 17455971 19500364 23274628 27750518 29250546 34911942 41625777 43875819 52367913 55501036 58501092 69823884 83251554 87751638 104735826 124877331 166503108 175503276 180378367 209471652 249754662 360756734 499509324 541135101 721513468 1082270202 1623405303 2164540404 3246810606 6493621212