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12970977577 = 171734410397
BaseRepresentation
bin11000001010010000…
…10110100100101001
31020110222011221011221
430011020112210221
5203031032240302
65543033022041
7636301330105
oct140510264451
936428157157
1012970977577
115556862488
12261bb54921
1312b937c97c
148b0972905
1550db1c937
hex305216929

12970977577 has 8 divisors (see below), whose sum is σ = 13813366536. Its totient is φ = 12137409792.

The previous prime is 12970977571. The next prime is 12970977619. The reversal of 12970977577 is 77577907921.

It can be written as a sum of positive squares in 4 ways, for example, as 7275407616 + 5695569961 = 85296^2 + 75469^2 .

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 12970977577 - 211 = 12970975529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12970977571) 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, 2202258 + ... + 2208139.

It is an arithmetic number, because the mean of its divisors is an integer number (1726670817).

Almost surely, 212970977577 is an apocalyptic number.

12970977577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12970977577 is a deficient number, since it is larger than the sum of its proper divisors (842388959).

12970977577 is a wasteful number, since it uses less digits than its factorization.

12970977577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410587.

The product of its (nonzero) digits is 13613670, while the sum is 61.

The spelling of 12970977577 in words is "twelve billion, nine hundred seventy million, nine hundred seventy-seven thousand, five hundred seventy-seven".

Divisors: 1 17 173 2941 4410397 74976749 762998681 12970977577