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82682022006 = 23223547936451
BaseRepresentation
bin100110100000000111…
…0111000100001110110
321220102020210220112100
41031000032320201312
52323313044201011
6101552242402530
75654636406513
oct1150016704166
9256366726470
1082682022006
11320799339a1
1214036060446
137a4899559c
14400504c30a
15223dba1d56
hex13403b8876

82682022006 has 48 divisors (see below), whose sum is σ = 186972514560. Its totient is φ = 26356849200.

The previous prime is 82682021993. The next prime is 82682022013. The reversal of 82682022006 is 60022028628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250081 + ... + 2286531.

It is an arithmetic number, because the mean of its divisors is an integer number (3895260720).

Almost surely, 282682022006 is an apocalyptic number.

82682022006 is an abundant number, since it is smaller than the sum of its proper divisors (104290492554).

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

82682022006 is a wasteful number, since it uses less digits than its factorization.

82682022006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41961 (or 41958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 82682022006 in words is "eighty-two billion, six hundred eighty-two million, twenty-two thousand, six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 5479 10958 16437 32874 36451 49311 72902 98622 109353 126017 218706 252034 328059 378051 656118 756102 838373 1134153 1676746 2268306 2515119 5030238 7545357 15090714 199715029 399430058 599145087 1198290174 1797435261 3594870522 4593445667 9186891334 13780337001 27560674002 41341011003 82682022006