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2661506441 = 11221995921
BaseRepresentation
bin1001111010100011…
…0101110110001001
320212111002112110122
42132220311312021
520422321201231
61120033153025
7122645300666
oct23650656611
96774075418
102661506441
111146395200
126233bb775
133355297a9
141b3692a6d
151089ce77b
hex9ea35d89

2661506441 has 6 divisors (see below), whose sum is σ = 2925457626. Its totient is φ = 2419551200.

The previous prime is 2661506437. The next prime is 2661506473. The reversal of 2661506441 is 1446051662.

It can be written as a sum of positive squares in only one way, i.e., 2159925625 + 501580816 = 46475^2 + 22396^2 .

It is not a de Polignac number, because 2661506441 - 22 = 2661506437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2661506401) 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, 10997840 + ... + 10998081.

It is an arithmetic number, because the mean of its divisors is an integer number (487576271).

Almost surely, 22661506441 is an apocalyptic number.

It is an amenable number.

2661506441 is a deficient number, since it is larger than the sum of its proper divisors (263951185).

2661506441 is a wasteful number, since it uses less digits than its factorization.

2661506441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21995943 (or 21995932 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2661506441 is about 51589.7900848608. The cubic root of 2661506441 is about 1385.8274959575.

The spelling of 2661506441 in words is "two billion, six hundred sixty-one million, five hundred six thousand, four hundred forty-one".

Divisors: 1 11 121 21995921 241955131 2661506441