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82079643246951 = 3731472682604283
BaseRepresentation
bin10010101010011010100111…
…111110101010000101100111
3101202121201220110112000102010
4102222122213332222011213
541224243102132400301
6450322511220445303
723201026035055560
oct2252324776520547
9352551813460363
1082079643246951
112417586588a179
129257702549833
1336a510064c4cc
14163a966a75167
1597512e9155d6
hex4aa6a7faa167

82079643246951 has 32 divisors (see below), whose sum is σ = 131855365767168. Its totient is φ = 44423926909920.

The previous prime is 82079643246859. The next prime is 82079643246961. The reversal of 82079643246951 is 15964234697028.

It is not a de Polignac number, because 82079643246951 - 29 = 82079643246439 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82079643246961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341271545 + ... + 1341332738.

It is an arithmetic number, because the mean of its divisors is an integer number (4120480180224).

It is a 1-persistent number, because it is pandigital, but 2⋅82079643246951 = 164159286493902 is not.

Almost surely, 282079643246951 is an apocalyptic number.

82079643246951 is a deficient number, since it is larger than the sum of its proper divisors (49775722520217).

82079643246951 is a wasteful number, since it uses less digits than its factorization.

82079643246951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682604371.

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 82079643246951 in words is "eighty-two trillion, seventy-nine billion, six hundred forty-three million, two hundred forty-six thousand, nine hundred fifty-one".

Divisors: 1 3 7 21 31 47 93 141 217 329 651 987 1457 4371 10199 30597 2682604283 8047812849 18778229981 56334689943 83160732773 126082401301 249482198319 378247203903 582125129411 882576809107 1746375388233 2647730427321 3908554440331 11725663320993 27359881082317 82079643246951