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45353220041 = 1715730895501
BaseRepresentation
bin101010001111010000…
…110011011111001001
311100001202002021212102
4222033100303133021
51220340411020131
632500204523145
73163616003213
oct521720633711
9140052067772
1045353220041
111826378a538
1289588504b5
13437a153b9c
1422a35375b3
1512a69611cb
hexa8f4337c9

45353220041 has 16 divisors (see below), whose sum is σ = 48351355920. Its totient is φ = 42392064000.

The previous prime is 45353220019. The next prime is 45353220061. The reversal of 45353220041 is 14002235354.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15078612025 + 30274608016 = 122795^2 + 173996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45353220041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45353219986 and 45353220013.

It is not an unprimeable number, because it can be changed into a prime (45353220061) 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 15 ways as a sum of consecutive naturals, for example, 8241791 + ... + 8247291.

It is an arithmetic number, because the mean of its divisors is an integer number (3021959745).

Almost surely, 245353220041 is an apocalyptic number.

It is an amenable number.

45353220041 is a deficient number, since it is larger than the sum of its proper divisors (2998135879).

45353220041 is a wasteful number, since it uses less digits than its factorization.

45353220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 45353220041 its reverse (14002235354), we get a palindrome (59355455395).

The spelling of 45353220041 in words is "forty-five billion, three hundred fifty-three million, two hundred twenty thousand, forty-one".

Divisors: 1 17 157 2669 3089 5501 52513 93517 484973 863657 8244541 14682169 16992589 288874013 2667836473 45353220041