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841417274945 = 513149159754401
BaseRepresentation
bin11000011111010000110…
…00001011011001000001
32222102211211001022012202
430033220120023121001
5102241210310244240
61442313004202545
7114535050554522
oct14175030133101
92872754038182
10841417274945
112a4930130445
121170a4b39455
1361464848660
142ca20c60849
1516d49432315
hexc3e860b641

841417274945 has 32 divisors (see below), whose sum is σ = 1095373389600. Its totient is φ = 616786329600.

The previous prime is 841417274941. The next prime is 841417274953. The reversal of 841417274945 is 549472714148.

It is a happy number.

It is a Cunningham number, because it is equal to 9172882+1.

It can be written as a sum of positive squares in 16 ways, for example, as 538507936561 + 302909338384 = 733831^2 + 550372^2 .

It is not a de Polignac number, because 841417274945 - 22 = 841417274941 is a prime.

It is not an unprimeable number, because it can be changed into a prime (841417274941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15439745 + ... + 15494145.

It is an arithmetic number, because the mean of its divisors is an integer number (34230418425).

Almost surely, 2841417274945 is an apocalyptic number.

It is an amenable number.

841417274945 is a deficient number, since it is larger than the sum of its proper divisors (253956114655).

841417274945 is a wasteful number, since it uses less digits than its factorization.

841417274945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56165.

The product of its digits is 9031680, while the sum is 56.

The spelling of 841417274945 in words is "eight hundred forty-one billion, four hundred seventeen million, two hundred seventy-four thousand, nine hundred forty-five".

Divisors: 1 5 13 65 149 745 1597 1937 7985 9685 20761 54401 103805 237953 272005 707213 1189765 3093389 3536065 8105749 15466945 40528745 86878397 105374737 434391985 526873685 1129419161 5647095805 12944881153 64724405765 168283454989 841417274945