Search a number
-
+
7131295809 = 341128532
BaseRepresentation
bin1101010010000111…
…01111000001000001
3200101222210100210000
412221003233001001
5104101102431214
63135344230213
7341502004611
oct65103570101
920358710700
107131295809
11302a481100
12147030b369
13898586481
144b9176a41
152bb101809
hex1a90ef041

7131295809 has 45 divisors (see below), whose sum is σ = 11723155059. Its totient is φ = 4316930640.

The previous prime is 7131295753. The next prime is 7131295811. The reversal of 7131295809 is 9085921317.

The square root of 7131295809 is 84447.

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., 411887025 + 6719408784 = 20295^2 + 81972^2 .

It is not a de Polignac number, because 7131295809 - 217 = 7131164737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7131295819) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8359827 + ... + 8360679.

Almost surely, 27131295809 is an apocalyptic number.

7131295809 is the 84447-th square number.

7131295809 is the 42224-th centered octagonal number.

It is an amenable number.

7131295809 is a deficient number, since it is larger than the sum of its proper divisors (4591859250).

7131295809 is an frugal number, since it uses more digits than its factorization.

7131295809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The cubic root of 7131295809 is about 1924.8171690303.

The spelling of 7131295809 in words is "seven billion, one hundred thirty-one million, two hundred ninety-five thousand, eight hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 853 891 1089 2559 3267 7677 9383 9801 23031 28149 69093 84447 103213 253341 309639 727609 760023 928917 2182827 2786751 6548481 8003699 8360253 19645443 24011097 58936329 72033291 88040689 216099873 264122067 648299619 792366201 2377098603 7131295809