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13013009593 = 31228614733
BaseRepresentation
bin11000001111010001…
…01100010010111001
31020120220021101021021
430013220230102321
5203122312301333
65551133542441
7640321520323
oct140750542271
936526241237
1013013009593
115578560791
122632044a21
1312c4ca839c
148b6394613
1551267182d
hex307a2c4b9

13013009593 has 12 divisors (see below), whose sum is σ = 13453867044. Its totient is φ = 12586173600.

The previous prime is 13013009591. The next prime is 13013009609. The reversal of 13013009593 is 39590031031.

It can be written as a sum of positive squares in 2 ways, for example, as 4638563449 + 8374446144 = 68107^2 + 91512^2 .

It is not a de Polignac number, because 13013009593 - 21 = 13013009591 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013009591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2747055 + ... + 2751787.

It is an arithmetic number, because the mean of its divisors is an integer number (1121155587).

Almost surely, 213013009593 is an apocalyptic number.

It is an amenable number.

13013009593 is a deficient number, since it is larger than the sum of its proper divisors (440857451).

13013009593 is an equidigital number, since it uses as much as digits as its factorization.

13013009593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 34.

The spelling of 13013009593 in words is "thirteen billion, thirteen million, nine thousand, five hundred ninety-three".

Divisors: 1 31 961 2861 4733 88691 146723 2749421 4548413 13541113 419774503 13013009593