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82794316941 = 3471076412129
BaseRepresentation
bin100110100011011101…
…1010000010010001101
321220201002010002020000
41031012323100102031
52324030321120231
6102011333314513
75660502040140
oct1150673202215
9256632102200
1082794316941
1132127262826
1214067795a39
137a660223ab
144015d20057
1522489846e6
hex1346ed048d

82794316941 has 80 divisors (see below), whose sum is σ = 142959738240. Its totient is φ = 46773780480.

The previous prime is 82794316931. The next prime is 82794316961. The reversal of 82794316941 is 14961349728.

82794316941 is a `hidden beast` number, since 82 + 79 + 431 + 69 + 4 + 1 = 666.

It is not a de Polignac number, because 82794316941 - 211 = 82794314893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82794316921) 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 79 ways as a sum of consecutive naturals, for example, 38887765 + ... + 38889893.

It is an arithmetic number, because the mean of its divisors is an integer number (1786996728).

Almost surely, 282794316941 is an apocalyptic number.

82794316941 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82794316941 is a deficient number, since it is larger than the sum of its proper divisors (60165421299).

82794316941 is a wasteful number, since it uses less digits than its factorization.

82794316941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2887 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 82794316941 in words is "eighty-two billion, seven hundred ninety-four million, three hundred sixteen thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 107 189 321 567 641 749 963 1923 2129 2247 2889 4487 5769 6387 6741 8667 13461 14903 17307 19161 20223 40383 44709 51921 57483 60669 68587 121149 134127 172449 205761 227803 363447 402381 480109 617283 683409 1207143 1364689 1440327 1594621 1851849 2050227 4094067 4320981 4783863 5555547 6150681 9552823 12282201 12962943 14351589 18452043 28658469 36846603 38888829 43054767 85975407 110539809 129164301 146021723 257926221 438065169 773778663 1022152061 1314195507 3066456183 3942586521 9199368549 11827759563 27598105647 82794316941