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13009488001 = 97917314621
BaseRepresentation
bin11000001110110110…
…10000100010000001
31020120122122110112221
430013123100202001
5203120412104001
65550530251041
7640246552306
oct140733204201
936518573487
1013009488001
115576575984
122630a26a81
1312c43444c3
148b5b190ad
155121c81a1
hex3076d0881

13009488001 has 8 divisors (see below), whose sum is σ = 13145938344. Its totient is φ = 12873085440.

The previous prime is 13009487989. The next prime is 13009488013. The reversal of 13009488001 is 10088490031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13009487989) and next prime (13009488013).

It can be written as a sum of positive squares in 4 ways, for example, as 1374629776 + 11634858225 = 37076^2 + 107865^2 .

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 13009488001 - 25 = 13009487969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13009488601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882471 + ... + 897091.

It is an arithmetic number, because the mean of its divisors is an integer number (1643242293).

Almost surely, 213009488001 is an apocalyptic number.

It is an amenable number.

13009488001 is a deficient number, since it is larger than the sum of its proper divisors (136450343).

13009488001 is an equidigital number, since it uses as much as digits as its factorization.

13009488001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 13009488001 in words is "thirteen billion, nine million, four hundred eighty-eight thousand, one".

Divisors: 1 97 9173 14621 889781 1418237 134118433 13009488001