Search a number
-
+
6145148881 = 27722832
BaseRepresentation
bin1011011100100011…
…11000011111010001
3120212021011220111201
411232101320133101
5100041124231011
62453435511201
7305165621644
oct55621703721
916767156451
106145148881
11267385a343
121235bb8501
1376c189891
144241d3a5b
1525e759cc1
hex16e4787d1

6145148881 has 9 divisors (see below), whose sum is σ = 6189283611. Its totient is φ = 6101328312.

The previous prime is 6145148869. The next prime is 6145148887. The reversal of 6145148881 is 1888415416.

The square root of 6145148881 is 78391.

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., 1059177025 + 5085971856 = 32545^2 + 71316^2 .

It is not a de Polignac number, because 6145148881 - 215 = 6145116113 is a prime.

It is a super-2 number, since 2×61451488812 = 75525709539311104322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6145148887) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21714166 + ... + 21714448.

It is an arithmetic number, because the mean of its divisors is an integer number (687698179).

Almost surely, 26145148881 is an apocalyptic number.

6145148881 is the 78391-st square number.

6145148881 is the 39196-th centered octagonal number.

It is an amenable number.

6145148881 is a deficient number, since it is larger than the sum of its proper divisors (44134730).

6145148881 is an frugal number, since it uses more digits than its factorization.

6145148881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its digits is 245760, while the sum is 46.

The cubic root of 6145148881 is about 1831.6569424671.

The spelling of 6145148881 in words is "six billion, one hundred forty-five million, one hundred forty-eight thousand, eight hundred eighty-one".

Divisors: 1 277 283 76729 78391 80089 21714307 22184653 6145148881