Search a number
-
+
21336723135 = 355713192979
BaseRepresentation
bin10011110111110001…
…001000111010111111
32001001222210211200000
4103313301020322333
5322144200120020
613445120005343
71353513103620
oct236761107277
961058724600
1021336723135
11905a029992
124175760853
1320205cca80
141065a45a47
1584d2b2090
hex4f7c48ebf

21336723135 has 96 divisors (see below), whose sum is σ = 47204451840. Its totient is φ = 9003581568.

The previous prime is 21336723097. The next prime is 21336723157. The reversal of 21336723135 is 53132763312.

21336723135 is a `hidden beast` number, since 2 + 1 + 336 + 7 + 2 + 313 + 5 = 666.

It is not a de Polignac number, because 21336723135 - 214 = 21336706751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21336723135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14076 + ... + 207054.

It is an arithmetic number, because the mean of its divisors is an integer number (491713040).

Almost surely, 221336723135 is an apocalyptic number.

21336723135 is an abundant number, since it is smaller than the sum of its proper divisors (25867728705).

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

21336723135 is a wasteful number, since it uses less digits than its factorization.

21336723135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193019 (or 193007 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The spelling of 21336723135 in words is "twenty-one billion, three hundred thirty-six million, seven hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 455 567 585 819 945 1053 1215 1365 1701 1755 2457 2835 3159 4095 5265 7371 8505 12285 15795 22113 36855 110565 192979 578937 964895 1350853 1736811 2508727 2894685 4052559 5210433 6754265 7526181 8684055 12157677 12543635 15631299 17561089 20262795 22578543 26052165 36473031 37630905 46893897 52683267 60788385 67735629 78156495 87805445 109419093 112892715 158049801 182365155 203206887 234469485 263416335 328257279 338678145 474149403 547095465 609620661 790249005 1016034435 1422448209 1641286395 2370747015 3048103305 4267344627 7112241045 21336723135