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212464211104 = 2561323814549
BaseRepresentation
bin1100010111011111011…
…0101001010010100000
3202022101222220012202201
43011313312221102200
511440111314223404
6241334341222544
721231026665615
oct3056766512240
9668358805681
10212464211104
1182118565512
1235215a01a54
131705c6b7c12
14a3d761a50c
1557d783dca4
hex3177da94a0

212464211104 has 48 divisors (see below), whose sum is σ = 419239384200. Its totient is φ = 105990958080.

The previous prime is 212464211087. The next prime is 212464211123. The reversal of 212464211104 is 401112464212.

It is a happy number.

212464211104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59623872400 + 152840338704 = 244180^2 + 390948^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46703422 + ... + 46707970.

Almost surely, 2212464211104 is an apocalyptic number.

It is an amenable number.

212464211104 is a deficient number, since it is larger than the sum of its proper divisors (206775173096).

212464211104 is a wasteful number, since it uses less digits than its factorization.

212464211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 212464211104 its reverse (401112464212), we get a palindrome (613576675316).

The spelling of 212464211104 in words is "two hundred twelve billion, four hundred sixty-four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 613 1226 2381 2452 4549 4762 4904 9098 9524 9808 18196 19048 19616 36392 38096 72784 76192 145568 1459553 2788537 2919106 5577074 5838212 10831169 11154148 11676424 21662338 22308296 23352848 43324676 44616592 46705696 86649352 89233184 173298704 346597408 6639506597 13279013194 26558026388 53116052776 106232105552 212464211104