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309844749769 = 233223892
BaseRepresentation
bin1001000001001000010…
…11111010110111001001
31002121202121120010120221
410200210023322313021
520034030223443034
6354201332150041
731246145626612
oct4404413726711
91077677503527
10309844749769
1110a44a313535
1250072468321
13232ab5cc529
1410dd4810c09
1580d6b01bb4
hex48242fadc9

309844749769 has 9 divisors (see below), whose sum is σ = 311310572853. Its totient is φ = 308385804192.

The previous prime is 309844749763. The next prime is 309844749791. The reversal of 309844749769 is 967947448903.

The square root of 309844749769 is 556637.

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

It can be written as a sum of positive squares in 4 ways, for example, as 100619012025 + 209225737744 = 317205^2 + 457412^2 .

It is not a de Polignac number, because 309844749769 - 227 = 309710532041 is a prime.

It is a super-2 number, since 2×3098447497692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 309844749698 and 309844749707.

It is not an unprimeable number, because it can be changed into a prime (309844749763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129695227 + ... + 129697615.

Almost surely, 2309844749769 is an apocalyptic number.

309844749769 is the 556637-th square number.

309844749769 is the 278319-th centered octagonal number.

It is an amenable number.

309844749769 is a deficient number, since it is larger than the sum of its proper divisors (1465823084).

309844749769 is an frugal number, since it uses more digits than its factorization.

309844749769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 70.

The spelling of 309844749769 in words is "three hundred nine billion, eight hundred forty-four million, seven hundred forty-nine thousand, seven hundred sixty-nine".

Divisors: 1 233 2389 54289 556637 5707321 129696421 1329805793 309844749769