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12328664008815 = 3257211508293713
BaseRepresentation
bin1011001101100111110110…
…1000111000100001101111
31121122121102210101122112200
42303121331220320201233
53103443100441240230
642115413212232543
72411500534002600
oct263317550704157
947577383348480
1012328664008815
113a23614475190
12147146476b753
136b5784b8664b
143089d3959da7
15165a6bca9160
hexb367da3886f

12328664008815 has 72 divisors (see below), whose sum is σ = 27118486229328. Its totient is φ = 5123600616960.

The previous prime is 12328664008777. The next prime is 12328664008849. The reversal of 12328664008815 is 51880046682321.

12328664008815 is a `hidden beast` number, since 123 + 28 + 6 + 6 + 400 + 88 + 15 = 666.

It is not a de Polignac number, because 12328664008815 - 26 = 12328664008751 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254122602 + ... + 254171111.

It is an arithmetic number, because the mean of its divisors is an integer number (376645642074).

Almost surely, 212328664008815 is an apocalyptic number.

12328664008815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12328664008815 is an abundant number, since it is smaller than the sum of its proper divisors (14789822220513).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12328664008815 is a wasteful number, since it uses less digits than its factorization.

12328664008815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508293749 (or 508293739 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 12328664008815 in words is "twelve trillion, three hundred twenty-eight billion, six hundred sixty-four million, eight thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 24255 508293713 1524881139 2541468565 3558055991 4574643417 5591230843 7624405695 10674167973 16773692529 17790279955 22873217085 24906391937 27956154215 32022503919 39138615901 50321077587 53370839865 74719175811 83868462645 117415847703 124531959685 160112519595 195693079505 224157527433 251605387935 273970311307 352247543109 373595879055 587079238515 821910933921 1120787637165 1369851556535 1761237715545 2465732801763 4109554669605 12328664008815