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83082263614735 = 571119197118748571
BaseRepresentation
bin10010111001000000011000…
…110011110101010100001111
3101220011120211210121220201211
4102321000120303311110033
541342204433441132420
6452411244234515251
723333331641426050
oct2271003063652417
9356146753556654
1083082263614735
1124521a98951180
129399a95b95b27
13374881576c918
1416732bb102727
15991261231e5a
hex4b9018cf550f

83082263614735 has 128 divisors (see below), whose sum is σ = 131619457474560. Its totient is φ = 48774475814400.

The previous prime is 83082263614703. The next prime is 83082263614747. The reversal of 83082263614735 is 53741636228038.

It is a happy number.

It is not a de Polignac number, because 83082263614735 - 25 = 83082263614703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83082263614735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1710508000 + ... + 1710556570.

It is an arithmetic number, because the mean of its divisors is an integer number (1028277011520).

Almost surely, 283082263614735 is an apocalyptic number.

83082263614735 is a deficient number, since it is larger than the sum of its proper divisors (48537193859825).

83082263614735 is a wasteful number, since it uses less digits than its factorization.

83082263614735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49997.

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 83082263614735 in words is "eighty-three trillion, eighty-two billion, two hundred sixty-three million, six hundred fourteen thousand, seven hundred thirty-five".

Divisors: 1 5 7 11 19 35 55 77 95 133 197 209 385 665 985 1045 1187 1379 1463 2167 3743 5935 6895 7315 8309 10835 13057 15169 18715 22553 26201 41173 41545 48571 65285 75845 91399 112765 131005 157871 205865 233839 242855 248083 288211 339997 456995 534281 789355 922849 1169195 1240415 1441055 1636873 1699985 1736581 2572229 2671405 3739967 4442941 4614245 6459943 8184365 8682905 9568487 10151339 12861145 18005603 18699835 22214705 31100587 32299715 47842435 48872351 50756695 57653777 66979409 71059373 90028015 105253357 155502935 181801253 244361755 288268885 334897045 342106457 355296865 403576439 526266785 634191547 736773499 909006265 1095421763 1272608771 1710532285 1999813783 2017882195 3170957735 3683867495 4439340829 5477108815 6363043855 7667952341 9999068915 11357794069 12049639393 13998696481 22196704145 38339761705 56788970345 60248196965 69993482405 79504558483 84347475751 124935734759 215798087311 397522792415 421737378755 624678673795 874550143313 1078990436555 1510586611177 2373778960421 4372750716565 7552933055885 11868894802105 16616452722947 83082263614735