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82815533556 = 22372349318693
BaseRepresentation
bin100110100100000110…
…0001100000111110100
321220202120000222221120
41031020030030013310
52324101234033211
6102013412143540
75661150264150
oct1151014140764
9256676028846
1082815533556
1132138234118
1214072907bb0
137a6a5404c2
144018a84060
15224a775d06
hex134830c1f4

82815533556 has 96 divisors (see below), whose sum is σ = 230516471808. Its totient is φ = 22625623680.

The previous prime is 82815533483. The next prime is 82815533569. The reversal of 82815533556 is 65533551828.

It is a junction number, because it is equal to n+sod(n) for n = 82815533499 and 82815533508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9522346 + ... + 9531038.

It is an arithmetic number, because the mean of its divisors is an integer number (2401213248).

Almost surely, 282815533556 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 82815533556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115258235904).

82815533556 is an abundant number, since it is smaller than the sum of its proper divisors (147700938252).

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

82815533556 is a wasteful number, since it uses less digits than its factorization.

82815533556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13661 (or 13659 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 51.

The spelling of 82815533556 in words is "eighty-two billion, eight hundred fifteen million, five hundred thirty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 4931 8693 9862 14793 17386 19724 26079 29586 34517 34772 52158 59172 60851 69034 103551 104316 113413 121702 138068 182553 199939 207102 226826 243404 340239 365106 399878 414204 453652 599817 680478 730212 793891 799756 1199634 1360956 1399573 1587782 2381673 2399268 2799146 3175564 4198719 4763346 5598292 8397438 9526692 16794876 42865183 85730366 128595549 171460732 257191098 300056281 514382196 600112562 900168843 985899209 1200225124 1800337686 1971798418 2957697627 3600675372 3943596836 5915395254 6901294463 11830790508 13802588926 20703883389 27605177852 41407766778 82815533556