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82424430475816 = 231121312915073539
BaseRepresentation
bin10010101111011011101110…
…111001100011101000101000
3101210211200212021112000002111
4102233123232321203220220
541300420213200211231
6451145132143412104
723234653140131422
oct2257335671435050
9353750767460074
1082424430475816
1124299006226400
1292b24a6bb4034
1336cb78a282c70
14164d51409b812
1597e0aded44b1
hex4af6eee63a28

82424430475816 has 96 divisors (see below), whose sum is σ = 183081532082400. Its totient is φ = 34556882025600.

The previous prime is 82424430475813. The next prime is 82424430475823. The reversal of 82424430475816 is 61857403442428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82424430475813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13709175 + ... + 18782713.

It is an arithmetic number, because the mean of its divisors is an integer number (1907099292525).

Almost surely, 282424430475816 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 82424430475816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91540766041200).

82424430475816 is an abundant number, since it is smaller than the sum of its proper divisors (100657101606584).

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

82424430475816 is a wasteful number, since it uses less digits than its factorization.

82424430475816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074871 (or 5074856 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 58.

The spelling of 82424430475816 in words is "eighty-two trillion, four hundred twenty-four billion, four hundred thirty million, four hundred seventy-five thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1291 1573 2582 3146 5164 6292 10328 12584 14201 16783 28402 33566 56804 67132 113608 134264 156211 184613 312422 369226 624844 738452 1249688 1476904 2030743 4061486 5073539 8122972 10147078 16245944 20294156 40588312 55808929 65956007 111617858 131912014 223235716 263824028 446471432 527648056 613898219 725516077 1227796438 1451032154 2455592876 2902064308 4911185752 5804128616 6549938849 7980676847 13099877698 15961353694 26199755396 31922707388 52399510792 63845414776 72049327339 85149205037 144098654678 170298410074 288197309356 340596820148 576394618712 681193640296 792542600729 936641255407 1585085201458 1873282510814 3170170402916 3746565021628 6340340805832 7493130043256 10303053809477 20606107618954 41212215237908 82424430475816