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32149924417 = 1311092230001
BaseRepresentation
bin11101111100010010…
…001110101001000001
310001222120202101020101
4131330102032221001
51011320340040132
622434112242401
72215463564032
oct357422165101
9101876671211
1032149924417
11126a8881076
126292b40401
133054912b20
1417adbaca89
15c827537e7
hex77c48ea41

32149924417 has 8 divisors (see below), whose sum is σ = 34654231080. Its totient is φ = 29650080000.

The previous prime is 32149924403. The next prime is 32149924439. The reversal of 32149924417 is 71442994123.

It is a Cunningham number, because it is equal to 1793042+1.

It can be written as a sum of positive squares in 4 ways, for example, as 519657616 + 31630266801 = 22796^2 + 177849^2 .

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 32149924417 - 211 = 32149922369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32149924487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100584 + ... + 1129417.

It is an arithmetic number, because the mean of its divisors is an integer number (4331778885).

Almost surely, 232149924417 is an apocalyptic number.

It is an amenable number.

32149924417 is a deficient number, since it is larger than the sum of its proper divisors (2504306663).

32149924417 is a wasteful number, since it uses less digits than its factorization.

32149924417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231123.

The product of its digits is 435456, while the sum is 46.

The spelling of 32149924417 in words is "thirty-two billion, one hundred forty-nine million, nine hundred twenty-four thousand, four hundred seventeen".

Divisors: 1 13 1109 14417 2230001 28990013 2473071109 32149924417