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12820974269 = 172926006033
BaseRepresentation
bin10111111000011000…
…01000101010111101
31020002111220222022212
423330030020222331
5202224132134034
65520113550205
7632500324505
oct137414105275
936074828285
1012820974269
11548a118804
122599875365
13129427c40c
14898a86a05
1550088c2ce
hex2fc308abd

12820974269 has 8 divisors (see below), whose sum is σ = 14043258360. Its totient is φ = 11650702336.

The previous prime is 12820974251. The next prime is 12820974317. The reversal of 12820974269 is 96247902821.

It can be written as a sum of positive squares in 4 ways, for example, as 854802169 + 11966172100 = 29237^2 + 109390^2 .

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 12820974269 - 224 = 12804197053 is a prime.

It is a super-2 number, since 2×128209742692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820974209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13002524 + ... + 13003509.

It is an arithmetic number, because the mean of its divisors is an integer number (1755407295).

Almost surely, 212820974269 is an apocalyptic number.

It is an amenable number.

12820974269 is a deficient number, since it is larger than the sum of its proper divisors (1222284091).

12820974269 is a wasteful number, since it uses less digits than its factorization.

12820974269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26006079.

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 12820974269 in words is "twelve billion, eight hundred twenty million, nine hundred seventy-four thousand, two hundred sixty-nine".

Divisors: 1 17 29 493 26006033 442102561 754174957 12820974269