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82331696300 = 22527319312437
BaseRepresentation
bin100110010101101011…
…0011111110010101100
321212111211121112000012
41030223112133302230
52322103403240200
6101453405552352
75643153605000
oct1145326376254
9255454545005
1082331696300
1131a0a107017
1213b588756b8
1379c1227079
143db06d8700
15221d051a35
hex132b59fcac

82331696300 has 144 divisors (see below), whose sum is σ = 209445969600. Its totient is φ = 28079493120.

The previous prime is 82331696299. The next prime is 82331696311. The reversal of 82331696300 is 369613328.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6613682 + ... + 6626118.

It is an arithmetic number, because the mean of its divisors is an integer number (1454485900).

Almost surely, 282331696300 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 82331696300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104722984800).

82331696300 is an abundant number, since it is smaller than the sum of its proper divisors (127114273300).

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

82331696300 is a wasteful number, since it uses less digits than its factorization.

82331696300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 82331696300 in words is "eighty-two billion, three hundred thirty-one million, six hundred ninety-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 193 196 245 343 350 386 490 686 700 772 965 980 1225 1351 1372 1715 1930 2450 2702 3430 3860 4825 4900 5404 6755 6860 8575 9457 9650 12437 13510 17150 18914 19300 24874 27020 33775 34300 37828 47285 49748 62185 66199 67550 87059 94570 124370 132398 135100 174118 189140 236425 248740 264796 310925 330995 348236 435295 472850 609413 621850 661990 870590 945700 1218826 1243700 1323980 1654975 1741180 2176475 2400341 2437652 3047065 3309950 4265891 4352950 4800682 6094130 6619900 8531782 8705900 9601364 12001705 12188260 15235325 16802387 17063564 21329455 24003410 30470650 33604774 42658910 48006820 60008525 60941300 67209548 84011935 85317820 106647275 117616709 120017050 168023870 213294550 235233418 240034100 336047740 420059675 426589100 470466836 588083545 823316963 840119350 1176167090 1646633926 1680238700 2352334180 2940417725 3293267852 4116584815 5880835450 8233169630 11761670900 16466339260 20582924075 41165848150 82331696300