Search a number
-
+
2131977609 = 32236886401
BaseRepresentation
bin111111100010011…
…0110010110001001
312111120200200110200
41333010312112021
513331241240414
6551315402413
7103555340106
oct17704662611
95446620420
102131977609
119a449a373
124b5bb3409
1327c906018
14163211aad
15c7282109
hex7f136589

2131977609 has 6 divisors (see below), whose sum is σ = 3079523226. Its totient is φ = 1421318400.

The previous prime is 2131977583. The next prime is 2131977619. The reversal of 2131977609 is 9067791312.

2131977609 is a `hidden beast` number, since 2 + 1 + 31 + 9 + 7 + 7 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2058618384 + 73359225 = 45372^2 + 8565^2 .

It is not a de Polignac number, because 2131977609 - 212 = 2131973513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131977619) 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 5 ways as a sum of consecutive naturals, for example, 118443192 + ... + 118443209.

It is an arithmetic number, because the mean of its divisors is an integer number (513253871).

Almost surely, 22131977609 is an apocalyptic number.

It is an amenable number.

2131977609 is a deficient number, since it is larger than the sum of its proper divisors (947545617).

2131977609 is a wasteful number, since it uses less digits than its factorization.

2131977609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236886407 (or 236886404 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 2131977609 is about 46173.3430563567. The cubic root of 2131977609 is about 1287.0464263856.

The spelling of 2131977609 in words is "two billion, one hundred thirty-one million, nine hundred seventy-seven thousand, six hundred nine".

Divisors: 1 3 9 236886401 710659203 2131977609