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82712702212 = 22723353363841
BaseRepresentation
bin100110100001000001…
…1111010110100000100
321220111101112121212021
41031002003322310010
52323343422432322
6101555300132524
75655461240260
oct1150203726404
9256441477767
1082712702212
1132095189438
1214044397144
137a5214805a
1440091570a0
1522417124c7
hex13420fad04

82712702212 has 48 divisors (see below), whose sum is σ = 173107291392. Its totient is φ = 33810923520.

The previous prime is 82712702167. The next prime is 82712702251. The reversal of 82712702212 is 21220721728.

It is a super-2 number, since 2×827127022122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45412 + ... + 409252.

It is an arithmetic number, because the mean of its divisors is an integer number (3606401904).

Almost surely, 282712702212 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 82712702212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86553645696).

82712702212 is an abundant number, since it is smaller than the sum of its proper divisors (90394589180).

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

82712702212 is a wasteful number, since it uses less digits than its factorization.

82712702212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364228 (or 364226 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 82712702212 in words is "eighty-two billion, seven hundred twelve million, seven hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 353 644 706 1412 2471 4942 8119 9884 16238 32476 56833 113666 227332 363841 727682 1455364 2546887 5093774 8368343 10187548 16736686 33473372 58578401 117156802 128435873 234313604 256871746 513743492 899051111 1798102222 2954025079 3596204444 5908050158 11816100316 20678175553 41356351106 82712702212