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82247482120 = 23567122924971
BaseRepresentation
bin100110010011001010…
…1001111101100001000
321212021222010222212111
41030212111033230020
52321420323411440
6101441200552104
75641112030416
oct1144625175410
9255258128774
1082247482120
1131976617721
1213b34622634
1379a994c7ab
143da34562b6
1522159694ea
hex132654fb08

82247482120 has 64 divisors (see below), whose sum is σ = 187979227200. Its totient is φ = 32380296960.

The previous prime is 82247482081. The next prime is 82247482123. The reversal of 82247482120 is 2128474228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82247482123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3281235 + ... + 3306205.

It is an arithmetic number, because the mean of its divisors is an integer number (2937175425).

Almost surely, 282247482120 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 82247482120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93989613600).

82247482120 is an abundant number, since it is smaller than the sum of its proper divisors (105731745080).

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

82247482120 is a wasteful number, since it uses less digits than its factorization.

82247482120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26274 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 82247482120 in words is "eighty-two billion, two hundred forty-seven million, four hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1229 1340 2458 2680 4916 6145 9832 12290 24580 24971 49160 49942 82343 99884 124855 164686 199768 249710 329372 411715 499420 658744 823430 998840 1646860 1673057 3293720 3346114 6692228 8365285 13384456 16730570 30689359 33461140 61378718 66922280 122757436 153446795 245514872 306893590 613787180 1227574360 2056187053 4112374106 8224748212 10280935265 16449496424 20561870530 41123741060 82247482120