Search a number
-
+
32164987716 = 22327124212
BaseRepresentation
bin11101111101001011…
…101100001101000100
310002000122002200012100
4131331023230031010
51011333214101331
622435411152100
72216035612251
oct357513541504
9102018080170
1032164987716
111270632a384
126297ba5630
133057a88214
1417b1bb0428
15c83c2bae6
hex77d2ec344

32164987716 has 81 divisors (see below), whose sum is σ = 82663573629. Its totient is φ = 10545544800.

The previous prime is 32164987693. The next prime is 32164987747. The reversal of 32164987716 is 61778946123.

The square root of 32164987716 is 179346.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 152621316 + 32012366400 = 12354^2 + 178920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76401186 + ... + 76401606.

Almost surely, 232164987716 is an apocalyptic number.

32164987716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32164987716 is the 179346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32164987716

32164987716 is an abundant number, since it is smaller than the sum of its proper divisors (50498585913).

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

32164987716 is an equidigital number, since it uses as much as digits as its factorization.

32164987716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 32164987716 in words is "thirty-two billion, one hundred sixty-four million, nine hundred eighty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 421 426 639 842 852 1263 1278 1684 2526 2556 3789 5041 5052 7578 10082 15123 15156 20164 29891 30246 45369 59782 60492 89673 90738 119564 177241 179346 181476 269019 354482 358692 531723 538038 708964 1063446 1076076 1595169 2122261 2126892 3190338 4244522 6366783 6380676 8489044 12584111 12733566 19100349 25168222 25467132 37752333 38200698 50336444 75504666 76401396 113256999 151009332 226513998 453027996 893471881 1786943762 2680415643 3573887524 5360831286 8041246929 10721662572 16082493858 32164987716