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2420948665 = 51723745281
BaseRepresentation
bin1001000001001100…
…1011111010111001
320020201102221020101
42100103023322321
514424230324130
61040121155401
7113664503242
oct22023137271
96221387211
102420948665
111032620623
1257692bb61
132c7741b05
1418d753cc9
15e28131ca
hex904cbeb9

2420948665 has 24 divisors (see below), whose sum is σ = 3169558872. Its totient is φ = 1773527040.

The previous prime is 2420948653. The next prime is 2420948701. The reversal of 2420948665 is 5668490242.

2420948665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 163558521 + 2257390144 = 12789^2 + 47512^2 .

It is not a de Polignac number, because 2420948665 - 227 = 2286730937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30825 + ... + 76105.

It is an arithmetic number, because the mean of its divisors is an integer number (132064953).

Almost surely, 22420948665 is an apocalyptic number.

It is an amenable number.

2420948665 is a deficient number, since it is larger than the sum of its proper divisors (748610207).

2420948665 is a wasteful number, since it uses less digits than its factorization.

2420948665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45357 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 2420948665 is about 49203.1367394397. The cubic root of 2420948665 is about 1342.7501003808.

The spelling of 2420948665 in words is "two billion, four hundred twenty million, nine hundred forty-eight thousand, six hundred sixty-five".

Divisors: 1 5 17 37 85 185 289 629 1445 3145 10693 45281 53465 226405 769777 1675397 3848885 8376985 13086209 28481749 65431045 142408745 484189733 2420948665