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361036344769 = 73282312
BaseRepresentation
bin1010100000011110111…
…00010110110111000001
31021111220020120121020221
411100033130112313001
521403400301013034
6433505141503041
735040550203352
oct5201734266701
91244806517227
10361036344769
1112a129671541
1259b7a411a81
13280791acb49
141368d4c3d29
1595d0dc1bb4
hex540f716dc1

361036344769 has 9 divisors (see below), whose sum is σ = 366094274979. Its totient is φ = 356047379280.

The previous prime is 361036344743. The next prime is 361036344803. The reversal of 361036344769 is 967443630163.

The square root of 361036344769 is 600863.

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., 204941817025 + 156094527744 = 452705^2 + 395088^2 .

It is not a de Polignac number, because 361036344769 - 215 = 361036312001 is a prime.

It is a super-2 number, since 2×3610363447692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361036344269) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 43858884 + ... + 43867114.

Almost surely, 2361036344769 is an apocalyptic number.

361036344769 is the 600863-rd square number.

361036344769 is the 300432-nd centered octagonal number.

It is an amenable number.

361036344769 is a deficient number, since it is larger than the sum of its proper divisors (5057930210).

361036344769 is an frugal number, since it uses more digits than its factorization.

361036344769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 52.

The spelling of 361036344769 in words is "three hundred sixty-one billion, thirty-six million, three hundred forty-four thousand, seven hundred sixty-nine".

Divisors: 1 73 5329 8231 600863 43862999 67749361 4945703353 361036344769