Search a number
-
+
21066562332 = 22328324172917
BaseRepresentation
bin10011100111101010…
…100011101100011100
32000101011110020201100
4103213222203230130
5321121014443312
613402225313100
71344022553034
oct234752435434
960334406640
1021066562332
118a305860a2
1240bb195790
131ca964b9ca
14103bbdc8c4
158346e95dc
hex4e7aa3b1c

21066562332 has 72 divisors (see below), whose sum is σ = 53933954256. Its totient is φ = 6932335104.

The previous prime is 21066562331. The next prime is 21066562351. The reversal of 21066562332 is 23326566012.

21066562332 is a `hidden beast` number, since 2 + 1 + 0 + 66 + 562 + 3 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21066562331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7220538 + ... + 7223454.

It is an arithmetic number, because the mean of its divisors is an integer number (749082698).

Almost surely, 221066562332 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 21066562332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966977128).

21066562332 is an abundant number, since it is smaller than the sum of its proper divisors (32867391924).

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

21066562332 is a wasteful number, since it uses less digits than its factorization.

21066562332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 21066562332 in words is "twenty-one billion, sixty-six million, five hundred sixty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2417 2917 2988 4834 5834 7251 8751 9668 11668 14502 17502 21753 26253 29004 35004 43506 52506 87012 105012 200611 242111 401222 484222 601833 726333 802444 968444 1203666 1452666 1805499 2178999 2407332 2905332 3610998 4357998 7050389 7221996 8715996 14100778 21151167 28201556 42302334 63453501 84604668 126907002 253814004 585182287 1170364574 1755546861 2340729148 3511093722 5266640583 7022187444 10533281166 21066562332