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212973861453376 = 26712256932
BaseRepresentation
bin110000011011001011010111…
…010110111011111001000000
31000221002002202120211211200111
4300123023113112323321000
5210403330432013002001
62032542501414201104
762600565553156012
oct6033132726737100
91027062676754614
10212973861453376
11619507866340a1
121ba77917353194
1391ab46c884c5a
143a83dc03ac1b2
151994e13b06851
hexc1b2d75bbe40

212973861453376 has 63 divisors (see below), whose sum is σ = 428672921742993. Its totient is φ = 104983028586240.

The previous prime is 212973861453347. The next prime is 212973861453401. The reversal of 212973861453376 is 673354168379212.

The square root of 212973861453376 is 14593624.

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., 189488439630400 + 23485421822976 = 13765480^2 + 4846176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8289165586 + ... + 8289191278.

Almost surely, 2212973861453376 is an apocalyptic number.

212973861453376 is the 14593624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212973861453376

212973861453376 is an abundant number, since it is smaller than the sum of its proper divisors (215699060289617).

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

212973861453376 is an frugal number, since it uses more digits than its factorization.

212973861453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51540 (or 25766 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 67.

The spelling of 212973861453376 in words is "two hundred twelve trillion, nine hundred seventy-three billion, eight hundred sixty-one million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 5041 10082 20164 25693 40328 51386 80656 102772 161312 205544 322624 411088 822176 1644352 1824203 3648406 7296812 14593624 29187248 58374496 116748992 129518413 259036826 518073652 660130249 1036147304 1320260498 2072294608 2640520996 4144589216 5281041992 8289178432 10562083984 21124167968 42248335936 46869247679 93738495358 187476990716 374953981432 749907962864 1499815925728 2999631851456 3327716585209 6655433170418 13310866340836 26621732681672 53243465363344 106486930726688 212973861453376