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9442508436001 = 670112541112361
BaseRepresentation
bin1000100101101000000101…
…0111000111001000100001
31020102200202122111111010201
42021122001113013020201
52214201224124423001
632025454542025201
71663125106262464
oct211320127071041
936380678444121
109442508436001
1130105aa934673
121086030b78201
1353656a174734
1424903c6612db
1511594be02501
hex896815c7221

9442508436001 has 8 divisors (see below), whose sum is σ = 9444754655208. Its totient is φ = 9440262480000.

The previous prime is 9442508435993. The next prime is 9442508436029. The reversal of 9442508436001 is 1006348052449.

It can be written as a sum of positive squares in 4 ways, for example, as 830185211025 + 8612323224976 = 911145^2 + 2934676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9442508436001 - 23 = 9442508435993 is a prime.

It is a super-2 number, since 2×94425084360012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9442508431001) 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 7 ways as a sum of consecutive naturals, for example, 83981061 + ... + 84093421.

It is an arithmetic number, because the mean of its divisors is an integer number (1180594331901).

Almost surely, 29442508436001 is an apocalyptic number.

It is an amenable number.

9442508436001 is a deficient number, since it is larger than the sum of its proper divisors (2246219207).

9442508436001 is a wasteful number, since it uses less digits than its factorization.

9442508436001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131603.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 9442508436001 in words is "nine trillion, four hundred forty-two billion, five hundred eight million, four hundred thirty-six thousand, one".

Divisors: 1 6701 12541 112361 84037241 752931061 1409119301 9442508436001