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2325668665232 = 241121859364609
BaseRepresentation
bin100001110101111100101…
…001111001011110010000
322020022221211220011210002
4201311330221321132100
5301100432134241412
64540221502425132
7330011144325203
oct41657451713620
98208854804702
102325668665232
11817346371200
123168918921a8
1313b4042b7193
14807c4ab793a
1540768de1dc2
hex21d7ca79790

2325668665232 has 60 divisors (see below), whose sum is σ = 4953200435820. Its totient is φ = 1057048903680.

The previous prime is 2325668665231. The next prime is 2325668665241.

2325668665232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1605349816576 + 720318848656 = 1267024^2 + 848716^2 .

It is a super-2 number, since 2×23256686652322 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2325668665231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35963744 + ... + 36028352.

It is an arithmetic number, because the mean of its divisors is an integer number (82553340597).

Almost surely, 22325668665232 is an apocalyptic number.

2325668665232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2325668665232 is an abundant number, since it is smaller than the sum of its proper divisors (2627531770588).

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

2325668665232 is a wasteful number, since it uses less digits than its factorization.

2325668665232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83232 (or 83215 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 56.

The spelling of 2325668665232 in words is "two trillion, three hundred twenty-five billion, six hundred sixty-eight million, six hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 18593 37186 64609 74372 129218 148744 204523 258436 297488 409046 516872 710699 818092 1033744 1421398 1636184 2249753 2842796 3272368 4499506 5685592 7817689 8999012 11371184 15635378 17998024 31270756 35996048 62541512 125083024 1201275137 2402550274 4805100548 9610201096 13214026507 19220402192 26428053014 52856106028 105712212056 145354291577 211424424112 290708583154 581417166308 1162834332616 2325668665232