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21066364116 = 2233782133941
BaseRepresentation
bin10011100111101001…
…110011010011010100
32000101011002011211000
4103213221303103110
5321120442122431
613402221143300
71344021066120
oct234751632324
960334064730
1021066364116
118a30460186
1240bb0bab30
131ca95ac715
14103bb8a580
158346aa9e6
hex4e7a734d4

21066364116 has 96 divisors (see below), whose sum is σ = 62496725760. Its totient is φ = 6011452800.

The previous prime is 21066364093. The next prime is 21066364127. The reversal of 21066364116 is 61146366012.

It is a happy number.

21066364116 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 6 + 3 + 641 + 1 + 6 = 666.

It is a super-2 number, since 2×210663641162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 603706 + ... + 637646.

It is an arithmetic number, because the mean of its divisors is an integer number (651007560).

Almost surely, 221066364116 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 21066364116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248362880).

21066364116 is an abundant number, since it is smaller than the sum of its proper divisors (41430361644).

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

21066364116 is a wasteful number, since it uses less digits than its factorization.

21066364116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34782 (or 34774 counting only the distinct ones).

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

The spelling of 21066364116 in words is "twenty-one billion, sixty-six million, three hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 821 1642 2463 3284 4926 5747 7389 9852 11494 14778 17241 22167 22988 29556 33941 34482 44334 51723 67882 68964 88668 101823 103446 135764 155169 203646 206892 237587 305469 310338 407292 475174 610938 620676 712761 916407 950348 1221876 1425522 1832814 2138283 2851044 3665628 4276566 6414849 8553132 12829698 25659396 27865561 55731122 83596683 111462244 167193366 195058927 250790049 334386732 390117854 501580098 585176781 752370147 780235708 1003160196 1170353562 1504740294 1755530343 2340707124 3009480588 3511060686 5266591029 7022121372 10533182058 21066364116