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3873111361 = 72215336713
BaseRepresentation
bin1110011011011010…
…1111110101000001
3100222220221102221221
43212312233311001
530413004030421
61440154115041
7164656621600
oct34666576501
910886842857
103873111361
1117082a7989
1290111ba81
13499555192
1428a563a37
1517a05d841
hexe6dafd41

3873111361 has 12 divisors (see below), whose sum is σ = 4507671492. Its totient is φ = 3318177408.

The previous prime is 3873111301. The next prime is 3873111367. The reversal of 3873111361 is 1631113783.

It can be written as a sum of positive squares in 2 ways, for example, as 1717273600 + 2155837761 = 41440^2 + 46431^2 .

It is not a de Polignac number, because 3873111361 - 223 = 3864722753 is a prime.

It is a super-2 number, since 2×38731113612 = 30001983229414544642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3873111367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87141 + ... + 123853.

It is an arithmetic number, because the mean of its divisors is an integer number (375639291).

Almost surely, 23873111361 is an apocalyptic number.

It is an amenable number.

3873111361 is a deficient number, since it is larger than the sum of its proper divisors (634560131).

3873111361 is a wasteful number, since it uses less digits than its factorization.

3873111361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38880 (or 38873 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 3873111361 is about 62234.3262275732. The cubic root of 3873111361 is about 1570.4351047694.

The spelling of 3873111361 in words is "three billion, eight hundred seventy-three million, one hundred eleven thousand, three hundred sixty-one".

Divisors: 1 7 49 2153 15071 36713 105497 256991 1798937 79043089 553301623 3873111361