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212431264146 = 23328331388603
BaseRepresentation
bin1100010111010111100…
…0111101100110010010
3202022022200220100001000
43011311320331212102
511440024400423041
6241331203122430
721230146644423
oct3056570754622
9668280810030
10212431264146
1182100a01a22
1235206973416
131705592078a
14a3d30c164a
1557d49d1bb6
hex3175e3d992

212431264146 has 32 divisors (see below), whose sum is σ = 472236448320. Its totient is φ = 70785375552.

The previous prime is 212431264139. The next prime is 212431264147. The reversal of 212431264146 is 641462134212.

212431264146 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 3 + 1 + 2 + 641 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212431264146.

It is not an unprimeable number, because it can be changed into a prime (212431264147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541320 + ... + 847283.

It is an arithmetic number, because the mean of its divisors is an integer number (14757389010).

Almost surely, 2212431264146 is an apocalyptic number.

212431264146 is an abundant number, since it is smaller than the sum of its proper divisors (259805184174).

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

212431264146 is a wasteful number, since it uses less digits than its factorization.

212431264146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391447 (or 1391441 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 212431264146 its reverse (641462134212), we get a palindrome (853893398358).

The spelling of 212431264146 in words is "two hundred twelve billion, four hundred thirty-one million, two hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 2833 5666 8499 16998 25497 50994 76491 152982 1388603 2777206 4165809 8331618 12497427 24994854 37492281 74984562 3933912299 7867824598 11801736897 23603473794 35405210691 70810421382 106215632073 212431264146