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211946061376 = 267282212
BaseRepresentation
bin1100010101100011111…
…0000011111001000000
3202021001212220110222001
43011120332003321000
511433031142431001
6241211111353344
721212135540200
oct3053076037100
9667055813861
10211946061376
11819820319a5
12350b0382854
1316ca924994a
14a38889c400
1557a70dd001
hex3158f83e40

211946061376 has 63 divisors (see below), whose sum is σ = 489306183057. Its totient is φ = 90822977280.

The previous prime is 211946061347. The next prime is 211946061419. The reversal of 211946061376 is 673160649112.

The square root of 211946061376 is 460376.

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

It can be written as a sum of positive squares in only one way, i.e., 199651686976 + 12294374400 = 446824^2 + 110880^2 .

It is a super-2 number, since 2×2119460613762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 25776946 + ... + 25785166.

Almost surely, 2211946061376 is an apocalyptic number.

211946061376 is the 460376-th square number.

It is an amenable number.

211946061376 is an abundant number, since it is smaller than the sum of its proper divisors (277360121681).

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

211946061376 is an frugal number, since it uses more digits than its factorization.

211946061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 211946061376 in words is "two hundred eleven billion, nine hundred forty-six million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 8221 16442 32884 57547 65768 115094 131536 230188 263072 402829 460376 526144 805658 920752 1611316 1841504 3222632 3683008 6445264 12890528 25781056 67584841 135169682 270339364 473093887 540678728 946187774 1081357456 1892375548 2162714912 3311657209 3784751096 4325429824 6623314418 7569502192 13246628836 15139004384 26493257672 30278008768 52986515344 105973030688 211946061376