Search a number
-
+
2979184897 = 13238945317
BaseRepresentation
bin1011000110010010…
…1100000100000001
321200121212021101101
42301210230010001
522100132404042
61211342134401
7133553440153
oct26144540401
97617767341
102979184897
111299743787
126b1881401
133862a7100
14203948ad3
151268316b7
hexb192c101

2979184897 has 12 divisors (see below), whose sum is σ = 3234345660. Its totient is φ = 2742886848.

The previous prime is 2979184891. The next prime is 2979184903. The reversal of 2979184897 is 7984819792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2979184891) and next prime (2979184903).

It can be written as a sum of positive squares in 6 ways, for example, as 933974721 + 2045210176 = 30561^2 + 45224^2 .

It is not a de Polignac number, because 2979184897 - 215 = 2979152129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2979184891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43083 + ... + 88399.

It is an arithmetic number, because the mean of its divisors is an integer number (269528805).

Almost surely, 22979184897 is an apocalyptic number.

It is an amenable number.

2979184897 is a deficient number, since it is larger than the sum of its proper divisors (255160763).

2979184897 is a wasteful number, since it uses less digits than its factorization.

2979184897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45732 (or 45719 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 64.

The square root of 2979184897 is about 54581.9099794062. The cubic root of 2979184897 is about 1438.9062065859.

The spelling of 2979184897 in words is "two billion, nine hundred seventy-nine million, one hundred eighty-four thousand, eight hundred ninety-seven".

Divisors: 1 13 169 389 5057 45317 65741 589121 7658573 17628313 229168069 2979184897