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363443796769 = 61298832
BaseRepresentation
bin1010100100111101111…
…00000011101100100001
31021202010000121211112211
411102132330003230201
521423313102444034
6434544101522121
735154322205014
oct5223674035441
91252100554484
10363443796769
11130154603899
125a530713341
1328370ba7661
141383b12337b
1596c241ad64
hex549ef03b21

363443796769 has 9 divisors (see below), whose sum is σ = 369536956659. Its totient is φ = 357449529960.

The previous prime is 363443796757. The next prime is 363443796799. The reversal of 363443796769 is 967697344363.

The square root of 363443796769 is 602863.

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., 11818516369 + 351625280400 = 108713^2 + 592980^2 .

It is not a de Polignac number, because 363443796769 - 221 = 363441699617 is a prime.

It is a super-2 number, since 2×3634437967692 (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 (363443796799) 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, 36769702 + ... + 36779584.

It is an arithmetic number, because the mean of its divisors is an integer number (41059661851).

Almost surely, 2363443796769 is an apocalyptic number.

363443796769 is the 602863-rd square number.

363443796769 is the 301432-nd centered octagonal number.

It is an amenable number.

363443796769 is a deficient number, since it is larger than the sum of its proper divisors (6093159890).

363443796769 is an frugal number, since it uses more digits than its factorization.

363443796769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 9944 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 67.

The spelling of 363443796769 in words is "three hundred sixty-three billion, four hundred forty-three million, seven hundred ninety-six thousand, seven hundred sixty-nine".

Divisors: 1 61 3721 9883 602863 36774643 97673689 5958095029 363443796769