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12416434322643 = 32131979293241303
BaseRepresentation
bin1011010010101110110100…
…1010000011110011010011
31121221222222122201120020200
42310223231022003303103
53111412324141311033
642224010422510243
72421025550236431
oct264535512036323
947858878646220
1012416434322643
113a5786453002a
12148647a895383
136c0b31a820a0
1430cd5c68dd51
15167ea7503013
hexb4aed283cd3

12416434322643 has 96 divisors (see below), whose sum is σ = 20658711091200. Its totient is φ = 7122679080192.

The previous prime is 12416434322599. The next prime is 12416434322729. The reversal of 12416434322643 is 34622343461421.

12416434322643 is a `hidden beast` number, since 1 + 2 + 41 + 6 + 4 + 343 + 2 + 264 + 3 = 666.

It is not a de Polignac number, because 12416434322643 - 222 = 12416430128339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12416436322643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51335130 + ... + 51576432.

It is an arithmetic number, because the mean of its divisors is an integer number (215194907200).

Almost surely, 212416434322643 is an apocalyptic number.

12416434322643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12416434322643 is a deficient number, since it is larger than the sum of its proper divisors (8242276768557).

12416434322643 is a wasteful number, since it uses less digits than its factorization.

12416434322643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241713 (or 241710 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 12416434322643 in words is "twelve trillion, four hundred sixteen billion, four hundred thirty-four million, three hundred twenty-two thousand, six hundred forty-three".

Divisors: 1 3 9 13 19 39 57 79 117 171 237 247 293 711 741 879 1027 1501 2223 2637 3081 3809 4503 5567 9243 11427 13509 16701 19513 23147 34281 50103 58539 69441 72371 175617 208323 217113 241303 300911 439793 651339 723909 902733 1319379 2171727 2708199 3136939 3958137 4584757 5717309 9410817 13754271 17151927 19062937 28232451 41262813 51455781 57188811 59601841 70701779 171566433 178805523 212105337 247818181 362195803 536416569 636316011 743454543 919123127 1086587409 1343333801 2230363629 2757369381 3259762227 4030001403 4708545439 5585440541 8272108143 12090004209 14125636317 16756321623 17463339413 42376908951 50268964869 52390018239 72610727033 106123370279 157170054717 217832181099 318370110837 653496543297 955110332511 1379603813627 4138811440881 12416434322643