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3921648409 = 7280033641
BaseRepresentation
bin1110100110111111…
…1001101100011001
3101010022021101021101
43221233321230121
531012420222114
61445050311401
7166116314200
oct35157715431
911108241241
103921648409
111732739548
12915428561
134a661a723
14292b9a237
1517e449d74
hexe9bf9b19

3921648409 has 6 divisors (see below), whose sum is σ = 4561917594. Its totient is φ = 3361412880.

The previous prime is 3921648407. The next prime is 3921648413. The reversal of 3921648409 is 9048461293.

It can be written as a sum of positive squares in only one way, i.e., 3474748809 + 446899600 = 58947^2 + 21140^2 .

It is not a de Polignac number, because 3921648409 - 21 = 3921648407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3921648407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40016772 + ... + 40016869.

It is an arithmetic number, because the mean of its divisors is an integer number (760319599).

Almost surely, 23921648409 is an apocalyptic number.

It is an amenable number.

3921648409 is a deficient number, since it is larger than the sum of its proper divisors (640269185).

3921648409 is an equidigital number, since it uses as much as digits as its factorization.

3921648409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80033655 (or 80033648 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 3921648409 is about 62623.0661098608. The cubic root of 3921648409 is about 1576.9680155941.

The spelling of 3921648409 in words is "three billion, nine hundred twenty-one million, six hundred forty-eight thousand, four hundred nine".

Divisors: 1 7 49 80033641 560235487 3921648409