Search a number
-
+
20865007422 = 2327261794909
BaseRepresentation
bin10011011011101001…
…101011111100111110
31222212010012012100200
4103123221223330332
5320212420214142
613330225304330
71336024431300
oct233351537476
958763165320
1020865007422
118937830996
1240637950a6
131c7696ba4c
14101d133970
15821b8464c
hex4dba6bf3e

20865007422 has 144 divisors (see below), whose sum is σ = 54138052800. Its totient is φ = 5788298880.

The previous prime is 20865007411. The next prime is 20865007439. The reversal of 20865007422 is 22470056802.

20865007422 is a `hidden beast` number, since 2 + 0 + 86 + 500 + 74 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4247904 + ... + 4252812.

It is an arithmetic number, because the mean of its divisors is an integer number (375958700).

Almost surely, 220865007422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20865007422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27069026400).

20865007422 is an abundant number, since it is smaller than the sum of its proper divisors (33273045378).

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

20865007422 is a wasteful number, since it uses less digits than its factorization.

20865007422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20865007422 in words is "twenty billion, eight hundred sixty-five million, seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 79 98 122 126 147 158 183 237 294 366 427 441 474 549 553 711 854 882 1098 1106 1281 1422 1659 2562 2989 3318 3843 3871 4819 4909 4977 5978 7686 7742 8967 9638 9818 9954 11613 14457 14727 17934 23226 26901 28914 29454 33733 34363 34839 43371 44181 53802 67466 68726 69678 86742 88362 101199 103089 202398 206178 236131 240541 299449 303597 309267 387811 472262 481082 598898 607194 618534 708393 721623 775622 898347 1163433 1416786 1443246 1796694 2096143 2125179 2164869 2326866 2695041 2714677 3490299 4192286 4250358 4329738 5390082 5429354 6288429 6980598 8144031 12576858 14673001 16288062 18865287 19002739 23656471 24432093 29346002 37730574 38005478 44019003 47312942 48864186 57008217 70969413 88038006 114016434 132057009 141938826 165595297 171024651 212908239 264114018 331190594 342049302 425816478 496785891 993571782 1159167079 1490357673 2318334158 2980715346 3477501237 6955002474 10432503711 20865007422