Search a number
-
+
3766399641 = 3622732
BaseRepresentation
bin1110000001111110…
…1011001010011001
3100201111010221000000
43200133223022121
530203144242031
61421423003213
7162222603654
oct34037531231
910644127000
103766399641
111663041884
12891439509
13480401754
1427a30689b
151709d03e6
hexe07eb299

3766399641 has 21 divisors (see below), whose sum is σ = 5649501679. Its totient is φ = 2509828416.

The previous prime is 3766399639. The next prime is 3766399643. The reversal of 3766399641 is 1469936673.

The square root of 3766399641 is 61371.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3766399639) and next prime (3766399643).

It can be written as a sum of positive squares in only one way, i.e., 3354147225 + 412252416 = 57915^2 + 20304^2 .

It is not a de Polignac number, because 3766399641 - 21 = 3766399639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3766399643) 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 20 ways as a sum of consecutive naturals, for example, 1655881 + ... + 1658153.

Almost surely, 23766399641 is an apocalyptic number.

3766399641 is the 61371-st square number.

3766399641 is the 30686-th centered octagonal number.

It is an amenable number.

3766399641 is a deficient number, since it is larger than the sum of its proper divisors (1883102038).

3766399641 is an frugal number, since it uses more digits than its factorization.

3766399641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 2276 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The cubic root of 3766399641 is about 1555.8777371757.

The spelling of 3766399641 in words is "three billion, seven hundred sixty-six million, three hundred ninety-nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 243 729 2273 6819 20457 61371 184113 552339 1657017 5166529 15499587 46498761 139496283 418488849 1255466547 3766399641