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3727007273 = 11230801713
BaseRepresentation
bin1101111000100101…
…1001111000101001
3100121202000120211102
43132021121320221
530113103213043
61413454411145
7161234016263
oct33611317051
910552016742
103727007273
111642886800
12880200ab5
134751bb662
14274db0b33
1516c2ed6b8
hexde259e29

3727007273 has 6 divisors (see below), whose sum is σ = 4096627962. Its totient is φ = 3388188320.

The previous prime is 3727007267. The next prime is 3727007281.

3727007273 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3382236649 + 344770624 = 58157^2 + 18568^2 .

It is a de Polignac number, because none of the positive numbers 2k-3727007273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3727057273) 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 5 ways as a sum of consecutive naturals, for example, 15400736 + ... + 15400977.

It is an arithmetic number, because the mean of its divisors is an integer number (682771327).

Almost surely, 23727007273 is an apocalyptic number.

It is an amenable number.

3727007273 is a deficient number, since it is larger than the sum of its proper divisors (369620689).

3727007273 is a wasteful number, since it uses less digits than its factorization.

3727007273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30801735 (or 30801724 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 38.

The square root of 3727007273 is about 61049.2200851084. The cubic root of 3727007273 is about 1550.4344634327.

It can be divided in two parts, 372700 and 7273, that added together give a palindrome (379973).

The spelling of 3727007273 in words is "three billion, seven hundred twenty-seven million, seven thousand, two hundred seventy-three".

Divisors: 1 11 121 30801713 338818843 3727007273