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82980670300 = 2252111719233551
BaseRepresentation
bin100110101001000001…
…0001000101101011100
321221012001202210222021
41031102002020231130
52324421022422200
6102042031425524
75665224026323
oct1152202105534
9257161683867
1082980670300
1132212474870
12140ba0852a4
137a9580c058
14403298d0ba
152259ee541a
hex1352088b5c

82980670300 has 144 divisors (see below), whose sum is σ = 218940986880. Its totient is φ = 26904960000.

The previous prime is 82980670273. The next prime is 82980670373. The reversal of 82980670300 is 307608928.

It is a congruent number.

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, 238525 + ... + 472075.

It is an arithmetic number, because the mean of its divisors is an integer number (1520423520).

Almost surely, 282980670300 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 82980670300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109470493440).

82980670300 is an abundant number, since it is smaller than the sum of its proper divisors (135960316580).

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

82980670300 is a wasteful number, since it uses less digits than its factorization.

82980670300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233612 (or 233605 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 82980670300 in words is "eighty-two billion, nine hundred eighty million, six hundred seventy thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 76 85 95 100 110 170 187 190 209 220 275 323 340 374 380 418 425 475 550 646 748 836 850 935 950 1045 1100 1292 1615 1700 1870 1900 2090 3230 3553 3740 4180 4675 5225 6460 7106 8075 9350 10450 14212 16150 17765 18700 20900 32300 35530 71060 88825 177650 233551 355300 467102 934204 1167755 2335510 2569061 3970367 4437469 4671020 5138122 5838775 7940734 8874938 10276244 11677550 12845305 15881468 17749876 19851835 22187345 23355100 25690610 39703670 43674037 44374690 48812159 51381220 64226525 75436973 79407340 87348074 88749380 97624318 99259175 110936725 128453050 150873946 174696148 195248636 198518350 218370185 221873450 244060795 256906100 301747892 377184865 397036700 436740370 443746900 488121590 754369730 829806703 873480740 976243180 1091850925 1220303975 1508739460 1659613406 1885924325 2183701850 2440607950 3319226812 3771848650 4149033515 4367403700 4881215900 7543697300 8298067030 16596134060 20745167575 41490335150 82980670300