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195365250745344 = 21032192792972
BaseRepresentation
bin101100011010111100000100…
…010111110100010000000000
3221121201201212020020021011100
4230122330010113310100000
5201101331013142322334
61531301320204014400
756102450015545131
oct5432740427642000
9847651766207140
10195365250745344
1157281a3497a909
1219ab3117231400
138501b30556004
143635a2b365c88
15178bd72715c99
hexb1af045f4400

195365250745344 has 891 divisors, whose sum is σ = 609277941239877. Its totient is φ = 60285376659456.

The previous prime is 195365250745331. The next prime is 195365250745361. The reversal of 195365250745344 is 443547052563591.

The square root of 195365250745344 is 13977312.

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

195365250745344 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 6 + 5 + 25 + 0 + 74 + 534 + 4 = 666.

195365250745344 is digitally balanced in base 3, 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., 87726451737600 + 107638799007744 = 9366240^2 + 10374912^2 .

It is a super-2 number, since 2×1953652507453442 (a number of 29 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 2014074749904 + ... + 2014074750000.

Almost surely, 2195365250745344 is an apocalyptic number.

195365250745344 is the 13977312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195365250745344

195365250745344 is an abundant number, since it is smaller than the sum of its proper divisors (413912690494533).

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

195365250745344 is an frugal number, since it uses more digits than its factorization.

195365250745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 195365250745344 in words is "one hundred ninety-five trillion, three hundred sixty-five billion, two hundred fifty million, seven hundred forty-five thousand, three hundred forty-four".