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21134205666 = 2337192154877
BaseRepresentation
bin10011101011101100…
…100110001011100010
32000112212201212221000
4103223230212023202
5321240324040131
613413043212430
71345503532650
oct235354461342
960485655830
1021134205666
118a65787582
124119977116
131cba673952
141046ba9dd0
1583a60bce6
hex4ebb262e2

21134205666 has 96 divisors (see below), whose sum is σ = 56648177280. Its totient is φ = 5720499936.

The previous prime is 21134205649. The next prime is 21134205667. The reversal of 21134205666 is 66650243112.

21134205666 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 21134205666.

It is not an unprimeable number, because it can be changed into a prime (21134205667) 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, 59020 + ... + 213896.

It is an arithmetic number, because the mean of its divisors is an integer number (590085180).

Almost surely, 221134205666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134205666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28324088640).

21134205666 is an abundant number, since it is smaller than the sum of its proper divisors (35513971614).

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

21134205666 is a wasteful number, since it uses less digits than its factorization.

21134205666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154933 (or 154908 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 21134205666 its reverse (66650243112), we get a palindrome (87784448778).

The spelling of 21134205666 in words is "twenty-one billion, one hundred thirty-four million, two hundred five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 361 378 399 513 722 798 1026 1083 1197 2166 2394 2527 3249 3591 5054 6498 7182 7581 9747 15162 19494 22743 45486 68229 136458 154877 309754 464631 929262 1084139 1393893 2168278 2787786 2942663 3252417 4181679 5885326 6504834 8363358 8827989 9757251 17655978 19514502 20598641 26483967 29271753 41197282 52967934 55910597 58543506 61795923 79451901 111821194 123591846 158903802 167731791 185387769 335463582 370775538 391374179 503195373 556163307 782748358 1006390746 1112326614 1174122537 1509586119 2348245074 3019172238 3522367611 7044735222 10567102833 21134205666