Search a number
-
+
66305562224 = 24113119516229
BaseRepresentation
bin111101110000000111…
…101001011001110000
320100010221121112222212
4331300013221121300
52041243210442344
650243234151252
74535053660016
oct756007513160
9210127545885
1066305562224
1126135841310
1210a25722528
136338c206b5
1432d00c28b6
151ad10e779e
hexf701e9670

66305562224 has 80 divisors (see below), whose sum is σ = 144764067840. Its totient is φ = 29147040000.

The previous prime is 66305562223. The next prime is 66305562283. The reversal of 66305562224 is 42226550366.

66305562224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66305562223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10641542 + ... + 10647770.

It is an arithmetic number, because the mean of its divisors is an integer number (1809550848).

Almost surely, 266305562224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66305562224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72382033920).

66305562224 is an abundant number, since it is smaller than the sum of its proper divisors (78458505616).

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

66305562224 is a wasteful number, since it uses less digits than its factorization.

66305562224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 66305562224 in words is "sixty-six billion, three hundred five million, five hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 1951 2728 3902 5456 6229 7804 12458 15608 21461 24916 31216 42922 49832 60481 68519 85844 99664 120962 137038 171688 193099 241924 274076 343376 386198 483848 548152 665291 772396 967696 1096304 1330582 1544792 2124089 2661164 3089584 4248178 5322328 8496356 10644656 12152779 16992712 24305558 33985424 48611116 97222232 133680569 194444464 267361138 376736149 534722276 753472298 1069444552 1506944596 2138889104 3013889192 4144097639 6027778384 8288195278 16576390556 33152781112 66305562224