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3782165745 = 351941674831
BaseRepresentation
bin1110000101101111…
…0100010011110001
3100202120210221000210
43201123310103301
530221213300440
61423144534333
7162503610201
oct34133642361
910676727023
103782165745
111670a30116
128967813a9
134837619c7
1427c44c401
15172096a80
hexe16f44f1

3782165745 has 64 divisors (see below), whose sum is σ = 6624092160. Its totient is φ = 1836172800.

The previous prime is 3782165687. The next prime is 3782165753. The reversal of 3782165745 is 5475612873.

It is not a de Polignac number, because 3782165745 - 210 = 3782164721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3782165694 and 3782165703.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 780480 + ... + 785310.

It is an arithmetic number, because the mean of its divisors is an integer number (103501440).

Almost surely, 23782165745 is an apocalyptic number.

It is an amenable number.

3782165745 is a deficient number, since it is larger than the sum of its proper divisors (2841926415).

3782165745 is a wasteful number, since it uses less digits than its factorization.

3782165745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966.

The product of its digits is 1411200, while the sum is 48.

The square root of 3782165745 is about 61499.3149961851. The cubic root of 3782165745 is about 1558.0456768808.

The spelling of 3782165745 in words is "three billion, seven hundred eighty-two million, one hundred sixty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 15 19 41 57 67 95 123 201 205 285 335 615 779 1005 1273 2337 2747 3819 3895 4831 6365 8241 11685 13735 14493 19095 24155 41205 52193 72465 91789 156579 198071 260965 275367 323677 458945 594213 782895 971031 990355 1376835 1618385 2971065 3763349 4855155 6149863 11290047 13270757 18449589 18816745 30749315 39812271 56450235 66353785 92247945 199061355 252144383 756433149 1260721915 3782165745