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32428392517 = 173751555473
BaseRepresentation
bin11110001100111000…
…100000000001000101
310002200222202000122201
4132030320200001011
51012403132030032
622521500554501
72225414534263
oct361470400105
9102628660581
1032428392517
1112830a892a4
126350252a31
13309a512151
1417d8b79433
15c9be0c8e7
hex78ce20045

32428392517 has 8 divisors (see below), whose sum is σ = 35263944216. Its totient is φ = 29695951872.

The previous prime is 32428392473. The next prime is 32428392559. The reversal of 32428392517 is 71529382423.

It can be written as a sum of positive squares in 4 ways, for example, as 20163716001 + 12264676516 = 141999^2 + 110746^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32428392517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428392317) 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, 25777108 + ... + 25778365.

It is an arithmetic number, because the mean of its divisors is an integer number (4407993027).

Almost surely, 232428392517 is an apocalyptic number.

32428392517 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

32428392517 is a deficient number, since it is larger than the sum of its proper divisors (2835551699).

32428392517 is a wasteful number, since it uses less digits than its factorization.

32428392517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51555527.

The product of its digits is 725760, while the sum is 46.

The spelling of 32428392517 in words is "thirty-two billion, four hundred twenty-eight million, three hundred ninety-two thousand, five hundred seventeen".

Divisors: 1 17 37 629 51555473 876443041 1907552501 32428392517