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80206701417 = 33531032112579
BaseRepresentation
bin100101010110010110…
…0010010001101101001
321200000202001121001000
41022230230102031221
52303230403421132
6100502455545213
75536411466433
oct1125454221551
9250022047030
1080206701417
11310196569a7
121366508b209
137742bc744b
143c4c3c3653
1521466ed87c
hex12acb12369

80206701417 has 64 divisors (see below), whose sum is σ = 122869094400. Its totient is φ = 51686631360.

The previous prime is 80206701409. The next prime is 80206701469. The reversal of 80206701417 is 71410760208.

It is not a de Polignac number, because 80206701417 - 23 = 80206701409 is a prime.

It is a super-2 number, since 2×802067014172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80206901417) 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 63 ways as a sum of consecutive naturals, for example, 31098634 + ... + 31101212.

It is an arithmetic number, because the mean of its divisors is an integer number (1919829600).

Almost surely, 280206701417 is an apocalyptic number.

It is an amenable number.

80206701417 is a deficient number, since it is larger than the sum of its proper divisors (42662392983).

80206701417 is a wasteful number, since it uses less digits than its factorization.

80206701417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 80206701417 in words is "eighty billion, two hundred six million, seven hundred one thousand, four hundred seventeen".

Divisors: 1 3 9 27 53 103 159 211 309 477 633 927 1431 1899 2579 2781 5459 5697 7737 11183 16377 21733 23211 33549 49131 65199 69633 100647 136687 147393 195597 265637 301941 410061 544169 586791 796911 1151849 1230183 1632507 2390733 3455547 3690549 4897521 7172199 10366641 14078761 14692563 28840957 31099923 42236283 56049407 86522871 126708849 168148221 259568613 380126547 504444663 778705839 1513333989 2970618571 8911855713 26735567139 80206701417