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209583065168 = 24537921992
BaseRepresentation
bin1100001100110000011…
…1111100100001010000
3202000222012111211112222
43003030013330201100
511413211231041133
6240140420240212
721066443442341
oct3031407744120
9660865454488
10209583065168
118097a1a3974
1234750b40068
13169c0818b39
14a202b120c8
1556b9925e98
hex30cc1fc850

209583065168 has 90 divisors (see below), whose sum is σ = 421148470554. Its totient is φ = 101002771584.

The previous prime is 209583065143. The next prime is 209583065177. The reversal of 209583065168 is 861560385902.

It can be written as a sum of positive squares in only one way, i.e., 193765475344 + 15817589824 = 440188^2 + 125768^2 .

It is a super-2 number, since 2×2095830651682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1053181133 + ... + 1053181331.

Almost surely, 2209583065168 is an apocalyptic number.

It is an amenable number.

209583065168 is an abundant number, since it is smaller than the sum of its proper divisors (211565405386).

209583065168 is an frugal number, since it uses more digits than its factorization.

209583065168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

Multiplying 209583065168 by its sum of digits (53), we get a square (11107902453904 = 33328522).

209583065168 divided by its sum of digits (53) gives a square (3954397456 = 628842).

The spelling of 209583065168 in words is "two hundred nine billion, five hundred eighty-three million, sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 53 79 106 158 199 212 316 398 424 632 796 848 1264 1592 3184 4187 6241 8374 10547 12482 15721 16748 21094 24964 31442 33496 39601 42188 49928 62884 66992 79202 84376 99856 125768 158404 168752 251536 316808 330773 633616 661546 833213 1241959 1323092 1666426 2098853 2483918 2646184 3128479 3332852 4197706 4967836 5292368 6256958 6665704 8395412 9935672 12513916 13331408 16790824 19871344 25027832 33581648 50055664 65823827 131647654 165809387 247149841 263295308 331618774 494299682 526590616 663237548 988599364 1053181232 1326475096 1977198728 2652950192 3954397456 13098941573 26197883146 52395766292 104791532584 209583065168