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13007081801 = 72265450649
BaseRepresentation
bin11000001110100100…
…00101000101001001
31020120111010012212102
430013102011011021
5203114303104201
65550402523145
7640220241200
oct140722050511
936514105772
1013007081801
11557518208a
1226300664b5
1312c39b120c
148b5690237
15511da026b
hex307485149

13007081801 has 6 divisors (see below), whose sum is σ = 15130687050. Its totient is φ = 11148927216.

The previous prime is 13007081771. The next prime is 13007081839. The reversal of 13007081801 is 10818070031.

It can be written as a sum of positive squares in only one way, i.e., 11875768576 + 1131313225 = 108976^2 + 33635^2 .

It is a de Polignac number, because none of the positive numbers 2k-13007081801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13007084801) 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 5 ways as a sum of consecutive naturals, for example, 132725276 + ... + 132725373.

It is an arithmetic number, because the mean of its divisors is an integer number (2521781175).

Almost surely, 213007081801 is an apocalyptic number.

It is an amenable number.

13007081801 is a deficient number, since it is larger than the sum of its proper divisors (2123605249).

13007081801 is an equidigital number, since it uses as much as digits as its factorization.

13007081801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265450663 (or 265450656 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 13007081801 in words is "thirteen billion, seven million, eighty-one thousand, eight hundred one".

Divisors: 1 7 49 265450649 1858154543 13007081801