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12777335145 = 335754712541
BaseRepresentation
bin10111110011001011…
…01010100101101001
31012222110210212201000
423321211222211221
5202131444211040
65511514345213
7631430361651
oct137145524551
935873725630
1012777335145
115467522013
12258712b209
131288210353
14892d67361
154ebb1c130
hex2f996a969

12777335145 has 32 divisors (see below), whose sum is σ = 22720083840. Its totient is φ = 6813132480.

The previous prime is 12777335143. The next prime is 12777335159. The reversal of 12777335145 is 54153377721.

12777335145 is a `hidden beast` number, since 1 + 277 + 7 + 335 + 1 + 45 = 666.

It is not a de Polignac number, because 12777335145 - 21 = 12777335143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12777335145.

It is not an unprimeable number, because it can be changed into a prime (12777335143) 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 31 ways as a sum of consecutive naturals, for example, 1012575 + ... + 1025115.

It is an arithmetic number, because the mean of its divisors is an integer number (710002620).

Almost surely, 212777335145 is an apocalyptic number.

12777335145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12777335145 is a deficient number, since it is larger than the sum of its proper divisors (9942748695).

12777335145 is a wasteful number, since it uses less digits than its factorization.

12777335145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102 (or 20096 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 12777335145 in words is "twelve billion, seven hundred seventy-seven million, three hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 7547 12541 22641 37623 37735 62705 67923 112869 113205 188115 203769 338607 339615 564345 1018845 1693035 94646927 283940781 473234635 851822343 1419703905 2555467029 4259111715 12777335145