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20565697874172 = 223114714932220301
BaseRepresentation
bin1001010110100010100110…
…00111011100100011111100
32200211001122211211000121020
410223101103013130203330
510143422022123433142
6111423430130504140
74221552110432103
oct453212307344374
980731584730536
1020565697874172
116609955337810
12238192a735050
13b6244c494169
1451155697903a
15259e63575cec
hex12b4531dc8fc

20565697874172 has 96 divisors (see below), whose sum is σ = 53498691800064. Its totient is φ = 6095345184000.

The previous prime is 20565697874159. The next prime is 20565697874179. The reversal of 20565697874172 is 27147879656502.

It is a junction number, because it is equal to n+sod(n) for n = 20565697874097 and 20565697874106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20565697874179) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8152422 + ... + 10372722.

It is an arithmetic number, because the mean of its divisors is an integer number (557278039584).

Almost surely, 220565697874172 is an apocalyptic number.

20565697874172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20565697874172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26749345900032).

20565697874172 is an abundant number, since it is smaller than the sum of its proper divisors (32932993925892).

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

20565697874172 is a wasteful number, since it uses less digits than its factorization.

20565697874172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221859 (or 2221857 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 20565697874172 in words is "twenty trillion, five hundred sixty-five billion, six hundred ninety-seven million, eight hundred seventy-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1493 1551 2068 2986 3102 4479 5972 6204 8958 16423 17916 32846 49269 65692 70171 98538 140342 197076 210513 280684 421026 771881 842052 1543762 2220301 2315643 3087524 4440602 4631286 6660903 8881204 9262572 13321806 24423311 26643612 48846622 73269933 97693244 104354147 146539866 208708294 293079732 313062441 417416588 626124882 1147895617 1252249764 2295791234 3314909393 3443686851 4591582468 6629818786 6887373702 9944728179 13259637572 13774747404 19889456358 36464003323 39778912716 72928006646 109392009969 145856013292 155800741471 218784019938 311601482942 437568039876 467402224413 623202965884 934804448826 1713808156181 1869608897652 3427616312362 5141424468543 6855232624724 10282848937086 20565697874172