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845212128241 = 13137821578041
BaseRepresentation
bin11000100110010101001…
…00011001001111110001
32222210122021201211021211
430103022210121033301
5102321443301100431
61444141325120121
7115031100356665
oct14231244311761
92883567654254
10845212128241
112a64a8236938
121179839b9041
136191ab00290
142cca0c528a5
1516ebc6832b1
hexc4ca9193f1

845212128241 has 16 divisors (see below), whose sum is σ = 917990812368. Its totient is φ = 773556249600.

The previous prime is 845212128217. The next prime is 845212128251. The reversal of 845212128241 is 142821212548.

It can be written as a sum of positive squares in 8 ways, for example, as 7751041600 + 837461086641 = 88040^2 + 915129^2 .

It is a cyclic number.

It is not a de Polignac number, because 845212128241 - 227 = 845077910513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 845212128194 and 845212128203.

It is not an unprimeable number, because it can be changed into a prime (845212128251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173181 + ... + 1751221.

It is an arithmetic number, because the mean of its divisors is an integer number (57374425773).

Almost surely, 2845212128241 is an apocalyptic number.

It is an amenable number.

845212128241 is a deficient number, since it is larger than the sum of its proper divisors (72778684127).

845212128241 is a wasteful number, since it uses less digits than its factorization.

845212128241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579012.

The product of its digits is 81920, while the sum is 40.

The spelling of 845212128241 in words is "eight hundred forty-five billion, two hundred twelve million, one hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 13 137 821 1781 10673 112477 578041 1462201 7514533 79191617 474571661 1029491021 6169431593 65016317557 845212128241