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212451434046 = 232311033696479
BaseRepresentation
bin1100010111011100010…
…1111001111000111110
3202022101002212001221100
43011313011321320332
511440100031342141
6241333203313530
721230513251665
oct3056705717076
9668332761840
10212451434046
1182111328965
123521167b8a6
1317059b63327
14a3d5a51ddc
1557d66680b6
hex3177179e3e

212451434046 has 48 divisors (see below), whose sum is σ = 479773532160. Its totient is φ = 67867336080.

The previous prime is 212451434029. The next prime is 212451434071. The reversal of 212451434046 is 640434154212.

212451434046 is a `hidden beast` number, since 2 + 1 + 245 + 1 + 4 + 3 + 404 + 6 = 666.

It is a super-2 number, since 2×2124514340462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212451434046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790766 + ... + 1905713.

It is an arithmetic number, because the mean of its divisors is an integer number (9995281920).

Almost surely, 2212451434046 is an apocalyptic number.

212451434046 is an abundant number, since it is smaller than the sum of its proper divisors (267322098114).

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

212451434046 is a wasteful number, since it uses less digits than its factorization.

212451434046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696621 (or 3696618 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 212451434046 its reverse (640434154212), we get a palindrome (852885588258).

The spelling of 212451434046 in words is "two hundred twelve billion, four hundred fifty-one million, four hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 19158 28737 57474 3696479 7392958 11089437 22178874 33268311 66536622 114590849 229181698 343772547 380737337 687545094 761474674 1031317641 1142212011 2062635282 2284424022 3426636033 6853272066 11802857447 23605714894 35408572341 70817144682 106225717023 212451434046