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10447137641 = 89564120809
BaseRepresentation
bin10011011101011001…
…01010101101101001
3222222002010120122202
421232230222231221
5132343431401031
64444354225545
7516614130143
oct115654525551
928862116582
1010447137641
114481156156
1220368852b5
13ca6524365
147116b7c93
154122832cb
hex26eb2ab69

10447137641 has 8 divisors (see below), whose sum is σ = 10566901800. Its totient is φ = 10327426560.

The previous prime is 10447137629. The next prime is 10447137643. The reversal of 10447137641 is 14673174401.

It can be written as a sum of positive squares in 4 ways, for example, as 1865894416 + 8581243225 = 43196^2 + 92635^2 .

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 10447137641 - 26 = 10447137577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10447137595 and 10447137604.

It is not an unprimeable number, because it can be changed into a prime (10447137643) 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 7 ways as a sum of consecutive naturals, for example, 491645 + ... + 512453.

It is an arithmetic number, because the mean of its divisors is an integer number (1320862725).

Almost surely, 210447137641 is an apocalyptic number.

It is an amenable number.

10447137641 is a deficient number, since it is larger than the sum of its proper divisors (119764159).

10447137641 is an equidigital number, since it uses as much as digits as its factorization.

10447137641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26539.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 10447137641 in words is "ten billion, four hundred forty-seven million, one hundred thirty-seven thousand, six hundred forty-one".

Divisors: 1 89 5641 20809 502049 1852001 117383569 10447137641