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12272028945 = 3511698310651
BaseRepresentation
bin10110110110111100…
…00100110100010001
31011200020222122220120
423123132010310101
5200113114411240
65345424100453
7613053345021
oct133336046421
934606878816
1012272028945
115228270a90
122465a64729
13120761acb7
14845bcda81
154bc5a6ad0
hex2db784d11

12272028945 has 32 divisors (see below), whose sum is σ = 21425347584. Its totient is φ = 5948664000.

The previous prime is 12272028943. The next prime is 12272028947. The reversal of 12272028945 is 54982027221.

12272028945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12272028943) and next prime (12272028947).

It is not a de Polignac number, because 12272028945 - 21 = 12272028943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12272028897 and 12272028906.

It is not an unprimeable number, because it can be changed into a prime (12272028943) 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 31 ways as a sum of consecutive naturals, for example, 1146870 + ... + 1157520.

It is an arithmetic number, because the mean of its divisors is an integer number (669542112).

Almost surely, 212272028945 is an apocalyptic number.

12272028945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12272028945 is a deficient number, since it is larger than the sum of its proper divisors (9153318639).

12272028945 is a wasteful number, since it uses less digits than its factorization.

12272028945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17653.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 12272028945 in words is "twelve billion, two hundred seventy-two million, twenty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 6983 10651 20949 31953 34915 53255 76813 104745 117161 159765 230439 351483 384065 585805 1152195 1757415 74375933 223127799 371879665 818135263 1115638995 2454405789 4090676315 12272028945