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445464646121 = 112171237175069
BaseRepresentation
bin1100111101101111100…
…00110001000111101001
31120120211012022200201002
412132313300301013221
524244302422133441
6540351005204345
744120013005465
oct6366760610751
91516735280632
10445464646121
11161a141a7a00
12724012606b5
13330128a6701
14177bc4234a5
15b8c3019b9b
hex67b7c311e9

445464646121 has 24 divisors (see below), whose sum is σ = 518867564040. Its totient is φ = 380835924480.

The previous prime is 445464646111. The next prime is 445464646169. The reversal of 445464646121 is 121646464544.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 198519258025 + 246945388096 = 445555^2 + 496936^2 .

It is not a de Polignac number, because 445464646121 - 214 = 445464629737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445464646111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456975 + ... + 2632043.

It is an arithmetic number, because the mean of its divisors is an integer number (21619481835).

Almost surely, 2445464646121 is an apocalyptic number.

It is an amenable number.

445464646121 is a deficient number, since it is larger than the sum of its proper divisors (73402917919).

445464646121 is a wasteful number, since it uses less digits than its factorization.

445464646121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176345 (or 176334 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 445464646121 in words is "four hundred forty-five billion, four hundred sixty-four million, six hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 11 17 121 187 1237 2057 13607 21029 149677 175069 231319 1925759 2544509 2976173 21183349 32737903 216560353 360116933 2382163883 3681526001 26203802713 40496786011 445464646121