Search a number
-
+
20652078356 = 22713312431373
BaseRepresentation
bin10011001110111101…
…011011010100010100
31222022021112021120222
4103032331123110110
5314243413001411
613253141413512
71330530524660
oct231675332424
958267467528
1020652078356
118838618158
12400440a298
131c41808910
14ddcb478a0
1580d1244db
hex4cef5b514

20652078356 has 144 divisors (see below), whose sum is σ = 47065721472. Its totient is φ = 7717006080.

The previous prime is 20652078197. The next prime is 20652078361. The reversal of 20652078356 is 65387025602.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15040886 + ... + 15042258.

It is an arithmetic number, because the mean of its divisors is an integer number (326845288).

Almost surely, 220652078356 is an apocalyptic number.

20652078356 is a gapful number since it is divisible by the number (26) 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 20652078356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532860736).

20652078356 is an abundant number, since it is smaller than the sum of its proper divisors (26413643116).

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

20652078356 is a wasteful number, since it uses less digits than its factorization.

20652078356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 20652078356 in words is "twenty billion, six hundred fifty-two million, seventy-eight thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 31 43 52 62 86 91 124 172 182 217 301 364 403 434 559 602 806 868 961 1118 1204 1333 1373 1612 1922 2236 2666 2746 2821 3844 3913 5332 5492 5642 6727 7826 9331 9611 11284 12493 13454 15652 17329 17849 18662 19222 24986 26908 34658 35698 37324 38444 41323 42563 49972 59039 69316 71396 82646 85126 87451 118078 121303 124943 165292 170252 174902 236156 242606 249886 289261 297941 349804 413273 485212 499772 537199 553319 578522 595882 767507 826546 1074398 1106638 1157044 1191764 1319453 1535014 1653092 1830209 2148796 2213276 2638906 3070028 3660418 3760393 3873233 5277812 5372549 7320836 7520786 7746466 9236171 10745098 12811463 15041572 15492932 17152889 18472342 21490196 23792717 25622926 34305778 36944684 47585434 51245852 56736479 68611556 95170868 113472958 120070223 166549019 226945916 240140446 333098038 397155353 480280892 666196076 737574227 794310706 1475148454 1588621412 2950296908 5163019589 10326039178 20652078356