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196446910466304 = 283413127432
BaseRepresentation
bin101100101010101011011100…
…010100001100100100000000
3221202120010210221211022210000
4230222223130110030210000
5201222041233034410204
61533450244221440000
756243551400511321
oct5452533424144400
9852503727738700
10196446910466304
11576597376637a3
121a048888a10000
13857cb3076c364
14367211cb46448
1517aa07cee5039
hexb2aadc50c900

196446910466304 has 405 divisors, whose sum is σ = 591070312698019. Its totient is φ = 64894979036160.

The previous prime is 196446910466291. The next prime is 196446910466311. The reversal of 196446910466304 is 403664019644691.

The square root of 196446910466304 is 14015952.

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

196446910466304 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 469 + 104 + 6 + 63 + 0 + 4 = 666.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 264396918157 + ... + 264396918899.

Almost surely, 2196446910466304 is an apocalyptic number.

196446910466304 is the 14015952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196446910466304

196446910466304 is an abundant number, since it is smaller than the sum of its proper divisors (394623402231715).

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

196446910466304 is an frugal number, since it uses more digits than its factorization.

196446910466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 196446910466304 in words is "one hundred ninety-six trillion, four hundred forty-six billion, nine hundred ten million, four hundred sixty-six thousand, three hundred four".