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82963920500 = 22533143124477
BaseRepresentation
bin100110101000100001…
…0001111011001110100
321221010220020211120022
41031101002033121310
52324402230424000
6102040232424312
75664631455146
oct1152102173164
9257126224508
1082963920500
1132203a7445a
12140b4548098
137a921c6126
14403066cc96
1522587d7585
hex135108f674

82963920500 has 96 divisors (see below), whose sum is σ = 191389406208. Its totient is φ = 31367952000.

The previous prime is 82963920499. The next prime is 82963920503. The reversal of 82963920500 is 502936928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963920503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604262 + ... + 728738.

It is an arithmetic number, because the mean of its divisors is an integer number (1993639648).

Almost surely, 282963920500 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 82963920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95694703104).

82963920500 is an abundant number, since it is smaller than the sum of its proper divisors (108425485708).

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

82963920500 is a wasteful number, since it uses less digits than its factorization.

82963920500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124570 (or 124558 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 82963920500 in words is "eighty-two billion, nine hundred sixty-three million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 125 155 172 215 250 310 430 500 620 775 860 1075 1333 1550 2150 2666 3100 3875 4300 5332 5375 6665 7750 10750 13330 15500 21500 26660 33325 66650 124477 133300 166625 248954 333250 497908 622385 666500 1244770 2489540 3111925 3858787 5352511 6223850 7717574 10705022 12447700 15435148 15559625 19293935 21410044 26762555 31119250 38587870 53525110 62238500 77175740 96469675 107050220 133812775 165927841 192939350 267625550 331855682 385878700 482348375 535251100 663711364 669063875 829639205 964696750 1338127750 1659278410 1929393500 2676255500 3318556820 4148196025 8296392050 16592784100 20740980125 41481960250 82963920500