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3746541681 = 3622672
BaseRepresentation
bin1101111101001111…
…1011000001110001
3100200002210001000000
43133103323001301
530133103313211
61415433220213
7161562036021
oct33723730161
910602701000
103746541681
111652909243
12886861669
1347926ab8c
14277817a81
1516ddab656
hexdf4fb071

3746541681 has 21 divisors (see below), whose sum is σ = 5619721801. Its totient is φ = 2496592692.

The previous prime is 3746541653. The next prime is 3746541683. The reversal of 3746541681 is 1861456473.

The square root of 3746541681 is 61209.

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

3746541681 is a `hidden beast` number, since 3 + 7 + 46 + 541 + 68 + 1 = 666.

It is not a de Polignac number, because 3746541681 - 25 = 3746541649 is a prime.

It is a super-2 number, since 2×37465416812 = 28073149134940611522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3746541683) 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 20 ways as a sum of consecutive naturals, for example, 1651510 + ... + 1653776.

Almost surely, 23746541681 is an apocalyptic number.

3746541681 is the 61209-th square number.

3746541681 is the 30605-th centered octagonal number.

It is an amenable number.

3746541681 is a deficient number, since it is larger than the sum of its proper divisors (1873180120).

3746541681 is an frugal number, since it uses more digits than its factorization.

3746541681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 2270 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 3746541681 is about 1553.1385149222.

The spelling of 3746541681 in words is "three billion, seven hundred forty-six million, five hundred forty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 2267 6801 20403 61209 183627 550881 1652643 5139289 15417867 46253601 138760803 416282409 1248847227 3746541681