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82946825836 = 227223591811723
BaseRepresentation
bin100110101000000000…
…1000001111001101100
321221002201002100002121
41031100001001321230
52324333341411321
6102034422202324
75664333246400
oct1152001017154
9257081070077
1082946825836
11321a5358a36
12140aa8833a4
137a8b7bc244
14402c29d100
15225705c441
hex1350041e6c

82946825836 has 144 divisors (see below), whose sum is σ = 180278542080. Its totient is φ = 33222752640.

The previous prime is 82946825831. The next prime is 82946825849. The reversal of 82946825836 is 63852864928.

It is not an unprimeable number, because it can be changed into a prime (82946825831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48140071 + ... + 48141793.

It is an arithmetic number, because the mean of its divisors is an integer number (1251934320).

Almost surely, 282946825836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82946825836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90139271040).

82946825836 is an abundant number, since it is smaller than the sum of its proper divisors (97331716244).

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

82946825836 is a wasteful number, since it uses less digits than its factorization.

82946825836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1995 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 82946825836 in words is "eighty-two billion, nine hundred forty-six million, eight hundred twenty-five thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 49 59 92 98 118 161 181 196 236 322 362 413 644 724 826 1127 1267 1357 1652 1723 2254 2534 2714 2891 3446 4163 4508 5068 5428 5782 6892 8326 8869 9499 10679 11564 12061 16652 17738 18998 21358 24122 29141 35476 37996 39629 42716 48244 58282 66493 74753 79258 84427 101657 116564 132986 149506 158516 168854 203314 203987 245617 265972 277403 299012 311863 337708 406628 407974 491234 523271 554806 623726 711599 815948 982468 1046542 1109612 1247452 1423198 1719319 1941821 2093084 2183041 2338111 2846396 3438638 3883642 4366082 4676222 4981193 6877276 7172849 7767284 8732164 9352444 9962386 12035233 14345698 15281287 16366777 18399917 19924772 24070466 28691396 30562574 32733554 36799834 48140932 50209943 61125148 65467108 73599668 100419886 114567439 128799419 200839772 229134878 257598838 351469601 423198091 458269756 515197676 702939202 846396182 901595933 1405878404 1692792364 1803191866 2962386637 3606383732 5924773274 11849546548 20736706459 41473412918 82946825836