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852068488362 = 2371317193475637
BaseRepresentation
bin11000110011000110011…
…11010101010010101010
310000110100010012000012120
430121203033111102222
5102430014013111422
61451233532452110
7115363023436050
oct14314317252252
93013303160176
10852068488362
112a93a64a2763
1211917801a036
13624714231c0
142d35169c1d0
151726e57745c
hexc6633d54aa

852068488362 has 128 divisors (see below), whose sum is σ = 2232287092224. Its totient is φ = 210406146048.

The previous prime is 852068488301. The next prime is 852068488393. The reversal of 852068488362 is 263884860258.

It is a happy number.

852068488362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 852068488296 and 852068488305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553608 + ... + 2029244.

It is an arithmetic number, because the mean of its divisors is an integer number (17439742908).

Almost surely, 2852068488362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852068488362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116143546112).

852068488362 is an abundant number, since it is smaller than the sum of its proper divisors (1380218603862).

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

852068488362 is a wasteful number, since it uses less digits than its factorization.

852068488362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475872.

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 852068488362 in words is "eight hundred fifty-two billion, sixty-eight million, four hundred eighty-eight thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 193 221 238 273 357 386 442 546 579 663 714 1158 1326 1351 1547 2509 2702 3094 3281 4053 4641 5018 6562 7527 8106 9282 9843 15054 17563 19686 22967 35126 42653 45934 52689 68901 85306 105378 127959 137802 255918 298571 475637 597142 895713 951274 1426911 1791426 2853822 3329459 6183281 6658918 8085829 9988377 12366562 16171658 18549843 19976754 24257487 37099686 43282967 48514974 56600803 86565934 91797941 105115777 113201606 129848901 169802409 183595882 210231554 259697802 275393823 315347331 339604818 550787646 630694662 642585587 735810439 1193373233 1285171174 1471620878 1560564997 1927756761 2207431317 2386746466 3121129994 3580119699 3855513522 4414862634 4681694991 7160239398 8353612631 9363389982 10923954979 16707225262 20287344961 21847909958 25060837893 32771864937 40574689922 50121675786 60862034883 65543729874 121724069766 142011414727 284022829454 426034244181 852068488362