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5705595649 = 132593891471
BaseRepresentation
bin1010101000001010…
…00111101100000001
3112201122002021211101
411110011013230001
543141113030044
62342054414401
7261250522435
oct52405075401
915648067741
105705595649
112468729506
121132961401
136cc0a9c00
143c1a949c5
15235d81cd4
hex154147b01

5705595649 has 24 divisors (see below), whose sum is σ = 6303398400. Its totient is φ = 5160617280.

The previous prime is 5705595647. The next prime is 5705595659. The reversal of 5705595649 is 9465955075.

It is not a de Polignac number, because 5705595649 - 21 = 5705595647 is a prime.

It is a super-3 number, since 3×57055956493 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5705595649.

It is not an unprimeable number, because it can be changed into a prime (5705595647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877984 + ... + 3879454.

It is an arithmetic number, because the mean of its divisors is an integer number (262641600).

Almost surely, 25705595649 is an apocalyptic number.

5705595649 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

5705595649 is a deficient number, since it is larger than the sum of its proper divisors (597802751).

5705595649 is a wasteful number, since it uses less digits than its factorization.

5705595649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 55.

The square root of 5705595649 is about 75535.3933530501. The cubic root of 5705595649 is about 1786.9003343855.

The spelling of 5705595649 in words is "five billion, seven hundred five million, five hundred ninety-five thousand, six hundred forty-nine".

Divisors: 1 13 59 169 389 767 1471 5057 9971 19123 22951 65741 86789 248599 298363 572219 1128257 3878719 7438847 14667341 33760921 96705011 438891973 5705595649