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82237323860 = 225235310332749
BaseRepresentation
bin100110010010110111…
…0011111101001010100
321212021021000220100122
41030211232133221110
52321410223330420
6101440155131112
75640626501456
oct1144556375124
9255237026318
1082237323860
113197090966a
1213b31143a98
1379a7803ba3
143da1d702d6
152214b0e725
hex1325b9fa54

82237323860 has 96 divisors (see below), whose sum is σ = 185395392000. Its totient is φ = 30570388992.

The previous prime is 82237323853. The next prime is 82237323887. The reversal of 82237323860 is 6832373228.

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, 2494766 + ... + 2527514.

It is an arithmetic number, because the mean of its divisors is an integer number (1931202000).

Almost surely, 282237323860 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 82237323860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92697696000).

82237323860 is an abundant number, since it is smaller than the sum of its proper divisors (103158068140).

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

82237323860 is a wasteful number, since it uses less digits than its factorization.

82237323860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32937 (or 32935 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 82237323860 in words is "eighty-two billion, two hundred thirty-seven million, three hundred twenty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 53 92 103 106 115 206 212 230 265 412 460 515 530 1030 1060 1219 2060 2369 2438 4738 4876 5459 6095 9476 10918 11845 12190 21836 23690 24380 27295 32749 47380 54590 65498 109180 125557 130996 163745 251114 327490 502228 627785 654980 753227 1255570 1506454 1735697 2511140 3012908 3373147 3471394 3766135 6746294 6942788 7532270 8678485 13492588 15064540 16865735 17356970 33731470 34713940 39921031 67462940 77582381 79842062 155164762 159684124 178776791 199605155 310329524 357553582 387911905 399210310 715107164 775823810 798420620 893883955 1551647620 1787767910 3575535820 4111866193 8223732386 16447464772 20559330965 41118661930 82237323860