Search a number
-
+
3613091881 = 723122772
BaseRepresentation
bin1101011101011011…
…0110100000101001
3100022210200002021211
43113112312200221
524344422420011
61354305033121
7155351526400
oct32726664051
910283602254
103613091881
111594550453
1284a0257a1
134577150b9
14263bda637
151622eab21
hexd75b6829

3613091881 has 27 divisors (see below), whose sum is σ = 4358673207. Its totient is φ = 2986215120.

The previous prime is 3613091869. The next prime is 3613091897. The reversal of 3613091881 is 1881903163.

The square root of 3613091881 is 60109.

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

It can be written as a sum of positive squares in only one way, i.e., 622752025 + 2990339856 = 24955^2 + 54684^2 .

It is not a de Polignac number, because 3613091881 - 25 = 3613091849 is a prime.

It is a super-2 number, since 2×36130918812 = 26108865881096236322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3613091981) 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 26 ways as a sum of consecutive naturals, for example, 13043515 + ... + 13043791.

It is an arithmetic number, because the mean of its divisors is an integer number (161432341).

Almost surely, 23613091881 is an apocalyptic number.

3613091881 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3613091881 is the 60109-th square number.

3613091881 is the 30055-th centered octagonal number.

It is an amenable number.

3613091881 is a deficient number, since it is larger than the sum of its proper divisors (745581326).

3613091881 is an frugal number, since it uses more digits than its factorization.

3613091881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The cubic root of 3613091881 is about 1534.4744749691.

The spelling of 3613091881 in words is "three billion, six hundred thirteen million, ninety-one thousand, eight hundred eighty-one".

Divisors: 1 7 31 49 217 277 961 1519 1939 6727 8587 13573 47089 60109 76729 266197 420763 537103 1863379 2378599 3759721 13043653 16650193 73736569 116551351 516155983 3613091881