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82323626220 = 223251154837583
BaseRepresentation
bin100110010101011011…
…1101101100011101100
321212111021102111221100
41030222313231203230
52322044322014340
6101452521003100
75643025164033
oct1145267554354
9255437374840
1082323626220
1131a055a4930
1213b56023490
1379bc65ca84
143dad5d771a
15221c4aa830
hex132aded8ec

82323626220 has 144 divisors (see below), whose sum is σ = 272501978112. Its totient is φ = 19950971520.

The previous prime is 82323626191. The next prime is 82323626237. The reversal of 82323626220 is 2262632328.

82323626220 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 3 + 626 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10852549 + ... + 10860131.

It is an arithmetic number, because the mean of its divisors is an integer number (1892374848).

Almost surely, 282323626220 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 82323626220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136250989056).

82323626220 is an abundant number, since it is smaller than the sum of its proper divisors (190178351892).

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

82323626220 is a wasteful number, since it uses less digits than its factorization.

82323626220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 82323626220 in words is "eighty-two billion, three hundred twenty-three million, six hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5483 7583 10966 15166 16449 21932 22749 27415 30332 32898 37915 45498 49347 54830 60313 65796 68247 75830 82245 83413 90996 98694 109660 113745 120626 136494 151660 164490 166826 180939 197388 227490 241252 246735 250239 272988 301565 328980 333652 341235 361878 417065 454980 493470 500478 542817 603130 682470 723756 750717 834130 904695 986940 1000956 1085634 1206260 1251195 1364940 1501434 1668260 1809390 2171268 2502390 2714085 3002868 3618780 3753585 5004780 5428170 7507170 10856340 15014340 41577589 83155178 124732767 166310356 207887945 249465534 374198301 415775890 457353479 498931068 623663835 748396602 831551780 914706958 1247327670 1372060437 1496793204 1829413916 1870991505 2286767395 2494655340 2744120874 3741983010 4116181311 4573534790 5488241748 6860302185 7483966020 8232362622 9147069580 13720604370 16464725244 20580906555 27441208740 41161813110 82323626220