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445117377601 = 131712893156217
BaseRepresentation
bin1100111101000110001…
…00000010110001000001
31120112220222212121212001
412132203010002301001
524243100022040401
6540252322104001
744105265166021
oct6364304026101
91515828777761
10445117377601
11161856178a26
1272324aab001
1332c88968890
1417788267a81
15b8a27c0601
hex67a3102c41

445117377601 has 16 divisors (see below), whose sum is σ = 507597272784. Its totient is φ = 386675841024.

The previous prime is 445117377599. The next prime is 445117377631. The reversal of 445117377601 is 106773711544.

It can be written as a sum of positive squares in 8 ways, for example, as 14520250000 + 430597127601 = 120500^2 + 656199^2 .

It is a cyclic number.

It is not a de Polignac number, because 445117377601 - 21 = 445117377599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445117377631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771245 + ... + 2927461.

It is an arithmetic number, because the mean of its divisors is an integer number (31724829549).

Almost surely, 2445117377601 is an apocalyptic number.

It is an amenable number.

445117377601 is a deficient number, since it is larger than the sum of its proper divisors (62479895183).

445117377601 is a wasteful number, since it uses less digits than its factorization.

445117377601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169140.

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 445117377601 in words is "four hundred forty-five billion, one hundred seventeen million, three hundred seventy-seven thousand, six hundred one".

Divisors: 1 13 17 221 12893 156217 167609 219181 2030821 2655689 2849353 34523957 2014105781 26183375153 34239798277 445117377601