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2541764061 = 321716612837
BaseRepresentation
bin1001011110000000…
…0011110111011101
320120010202222210200
42113200003313131
520201142422221
61100114454113
7116662431564
oct22740036735
96503688720
102541764061
111094839a61
125ab294339
13316792c05
141a1802bdb
15ed22a426
hex97803ddd

2541764061 has 12 divisors (see below), whose sum is σ = 3887404092. Its totient is φ = 1594832256.

The previous prime is 2541764051. The next prime is 2541764077. The reversal of 2541764061 is 1604671452.

2541764061 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 7 + 640 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1562699961 + 979064100 = 39531^2 + 31290^2 .

It is not a de Polignac number, because 2541764061 - 215 = 2541731293 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541764051) 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 11 ways as a sum of consecutive naturals, for example, 8306266 + ... + 8306571.

It is an arithmetic number, because the mean of its divisors is an integer number (323950341).

Almost surely, 22541764061 is an apocalyptic number.

It is an amenable number.

2541764061 is a deficient number, since it is larger than the sum of its proper divisors (1345640031).

2541764061 is a wasteful number, since it uses less digits than its factorization.

2541764061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612860 (or 16612857 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2541764061 is about 50415.9107921299. The cubic root of 2541764061 is about 1364.7247828983.

The spelling of 2541764061 in words is "two billion, five hundred forty-one million, seven hundred sixty-four thousand, sixty-one".

Divisors: 1 3 9 17 51 153 16612837 49838511 149515533 282418229 847254687 2541764061