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195312731364 = 223273210092
BaseRepresentation
bin1011010111100110001…
…0111100010011100100
3200200010200100202201100
42311321202330103210
511200000024400424
6225420405400100
720053013552532
oct2657142742344
9620120322640
10195312731364
1175916a43973
1231a29a09030
13155581c823a
14964b789152
155131be3dc9
hex2d798bc4e4

195312731364 has 81 divisors (see below), whose sum is σ = 501059529243. Its totient is φ = 64148765184.

The previous prime is 195312731351. The next prime is 195312731371. The reversal of 195312731364 is 463137213591.

The square root of 195312731364 is 441942.

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

195312731364 is a `hidden beast` number, since 1 + 9 + 531 + 27 + 31 + 3 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3300502500 + 192012228864 = 57450^2 + 438192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193570092 + ... + 193571100.

Almost surely, 2195312731364 is an apocalyptic number.

195312731364 is the 441942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195312731364

195312731364 is an abundant number, since it is smaller than the sum of its proper divisors (305746797879).

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

195312731364 is an equidigital number, since it uses as much as digits as its factorization.

195312731364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 1087 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 195312731364 in words is "one hundred ninety-five billion, three hundred twelve million, seven hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1009 1314 2018 2628 3027 4036 5329 6054 9081 10658 12108 15987 18162 21316 31974 36324 47961 63948 73657 95922 147314 191844 220971 294628 441942 662913 883884 1018081 1325826 2036162 2651652 3054243 4072324 5376961 6108486 9162729 10753922 12216972 16130883 18325458 21507844 32261766 36650916 48392649 64523532 74319913 96785298 148639826 193570596 222959739 297279652 445919478 668879217 891838956 1337758434 2675516868 5425353649 10850707298 16276060947 21701414596 32552121894 48828182841 65104243788 97656365682 195312731364