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82012265307 = 3273735183297
BaseRepresentation
bin100110001100001001…
…1111101101101011011
321211200120112202001200
41030120103331231123
52320430114442212
6101401555245243
75632224516210
oct1143023755533
9254616482050
1082012265307
1131865870865
1213a898a9823
13796ccb4b4b
143d80107b07
1521eeea56dc
hex13184fdb5b

82012265307 has 24 divisors (see below), whose sum is σ = 139044393696. Its totient is φ = 45597551616.

The previous prime is 82012265239. The next prime is 82012265311. The reversal of 82012265307 is 70356221028.

82012265307 is a `hidden beast` number, since 82 + 0 + 12 + 265 + 307 = 666.

It is not a de Polignac number, because 82012265307 - 211 = 82012263259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82012265347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17589318 + ... + 17593979.

It is an arithmetic number, because the mean of its divisors is an integer number (5793516404).

Almost surely, 282012265307 is an apocalyptic number.

82012265307 is a deficient number, since it is larger than the sum of its proper divisors (57032128389).

82012265307 is a wasteful number, since it uses less digits than its factorization.

82012265307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35183347 (or 35183344 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 82012265307 in words is "eighty-two billion, twelve million, two hundred sixty-five thousand, three hundred seven".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 35183297 105549891 246283079 316649673 738849237 1301781989 2216547711 3905345967 9112473923 11716037901 27337421769 82012265307