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365969342116 = 227461732
BaseRepresentation
bin1010101001101010111…
…10001111111010100100
31021222122000212211110101
411110311132033322210
521444001122421431
6440042441033444
735304030040000
oct5246536177244
91258560784411
10365969342116
11131230175454
125ab16485884
13286841ac2a1
14139da703700
1597bdee0961
hex553578fea4

365969342116 has 45 divisors (see below), whose sum is σ = 747264003521. Its totient is φ = 156818595696.

The previous prime is 365969342009. The next prime is 365969342117. The reversal of 365969342116 is 611243969563.

The square root of 365969342116 is 604954.

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., 2958272100 + 363011070016 = 54390^2 + 602504^2 .

It is not an unprimeable number, because it can be changed into a prime (365969342117) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59282406 + ... + 59288578.

Almost surely, 2365969342116 is an apocalyptic number.

365969342116 is the 604954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365969342116

365969342116 is an abundant number, since it is smaller than the sum of its proper divisors (381294661405).

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

365969342116 is an frugal number, since it uses more digits than its factorization.

365969342116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 6182 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 55.

The spelling of 365969342116 in words is "three hundred sixty-five billion, nine hundred sixty-nine million, three hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 6173 9604 12346 24692 43211 86422 172844 302477 604954 1209908 2117339 4234678 8469356 14821373 29642746 38105929 59285492 76211858 152423716 266741503 533483006 1066966012 1867190521 3734381042 7468762084 13070333647 26140667294 52281334588 91492335529 182984671058 365969342116