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8180000819 = 82928513461
BaseRepresentation
bin1111001111001000…
…01110100000110011
3210010002010002121022
413213210032200303
5113223040011234
63431405450055
7406464600614
oct74744164063
923102102538
108180000819
113518440761
12170357092b
13a04917493
14578561c0b
1532d203e2e
hex1e790e833

8180000819 has 8 divisors (see below), whose sum is σ = 8195107920. Its totient is φ = 8164908000.

The previous prime is 8180000813. The next prime is 8180000827. The reversal of 8180000819 is 9180000818.

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-8180000819 is a prime.

It is a super-2 number, since 2×81800008192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8180000813) 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, 2361749 + ... + 2365209.

It is an arithmetic number, because the mean of its divisors is an integer number (1024388490).

Almost surely, 28180000819 is an apocalyptic number.

8180000819 is a deficient number, since it is larger than the sum of its proper divisors (15107101).

8180000819 is a wasteful number, since it uses less digits than its factorization.

8180000819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141.

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 8180000819 is about 90443.3569644559. The cubic root of 8180000819 is about 2014.8889527434. Note that the first 3 decimals are identical.

Subtracting 8180000819 from its reverse (9180000818), we obtain a palindrome (999999999).

The spelling of 8180000819 in words is "eight billion, one hundred eighty million, eight hundred nineteen", and thus it is an aban number.

Divisors: 1 829 2851 3461 2363479 2869169 9867311 8180000819