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5091821449 = 1121324992
BaseRepresentation
bin1001011110111111…
…10000011110001001
3111010212011022220121
410233133300132021
540412001241244
62201131223241
7240115524331
oct45737603611
914125138817
105091821449
112183222900
12ba12a7b21
13631b9a900
143643640c1
151ec042c84
hex12f7f0789

5091821449 has 27 divisors (see below), whose sum is σ = 6072604839. Its totient is φ = 4264294320.

The previous prime is 5091821417. The next prime is 5091821473. The reversal of 5091821449 is 9441281905.

The square root of 5091821449 is 71357.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 753228025 + 4338593424 = 27445^2 + 65868^2 .

It is not a de Polignac number, because 5091821449 - 25 = 5091821417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5091821549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10203802 + ... + 10204300.

Almost surely, 25091821449 is an apocalyptic number.

5091821449 is the 71357-th square number.

5091821449 is the 35679-th centered octagonal number.

It is an amenable number.

5091821449 is a deficient number, since it is larger than the sum of its proper divisors (980783390).

5091821449 is an equidigital number, since it uses as much as digits as its factorization.

5091821449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The cubic root of 5091821449 is about 1720.3800143979.

The spelling of 5091821449 in words is "five billion, ninety-one million, eight hundred twenty-one thousand, four hundred forty-nine".

Divisors: 1 11 13 121 143 169 499 1573 1859 5489 6487 20449 60379 71357 84331 249001 784927 927641 2739011 3237013 10204051 30129121 35607143 42081169 391678573 462892859 5091821449