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212008677136 = 2443226772
BaseRepresentation
bin1100010101110010110…
…0111010111100010000
3202021020020201200122021
43011130230322330100
511433143210132021
6241221225421224
721213526010344
oct3053454727420
9667206650567
10212008677136
1181a0440a063
123510933a814
1316cb92013a9
14a392d1b624
1557ac85ac41
hex315cb3af10

212008677136 has 45 divisors (see below), whose sum is σ = 420698837781. Its totient is φ = 103500444096.

The previous prime is 212008677091. The next prime is 212008677157. The reversal of 212008677136 is 631776800212.

The square root of 212008677136 is 460444.

It is a perfect power (a square), and thus also a powerful number.

212008677136 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 only one way, i.e., 3941328400 + 208067348736 = 62780^2 + 456144^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212008677092 and 212008677101.

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 8 ways as a sum of consecutive naturals, for example, 79195030 + ... + 79197706.

Almost surely, 2212008677136 is an apocalyptic number.

212008677136 is the 460444-th square number.

It is an amenable number.

212008677136 is a deficient number, since it is larger than the sum of its proper divisors (208690160645).

212008677136 is an frugal number, since it uses more digits than its factorization.

212008677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 212008677136 in words is "two hundred twelve billion, eight million, six hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 43 86 172 344 688 1849 2677 3698 5354 7396 10708 14792 21416 29584 42832 115111 230222 460444 920888 1841776 4949773 7166329 9899546 14332658 19799092 28665316 39598184 57330632 79196368 114661264 308152147 616304294 1232608588 2465217176 4930434352 13250542321 26501084642 53002169284 106004338568 212008677136