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5435644431 = 372193895003
BaseRepresentation
bin1010000111111110…
…10101101000001111
3112000211010100101010
411003333111220033
542113011110211
62255212420303
7251462133600
oct50377255017
915024110333
105435644431
11233a309128
121078477693
136881a0369
14397ca3da7
1521c30b4a6
hex143fd5a0f

5435644431 has 48 divisors (see below), whose sum is σ = 8899113600. Its totient is φ = 2934453312.

The previous prime is 5435644411. The next prime is 5435644457. The reversal of 5435644431 is 1344465345.

It is not a de Polignac number, because 5435644431 - 25 = 5435644399 is a prime.

It is a super-2 number, since 2×54356444312 = 59092460760522627522, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5435644431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435644411) 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 47 ways as a sum of consecutive naturals, for example, 1083976 + ... + 1088978.

It is an arithmetic number, because the mean of its divisors is an integer number (185398200).

Almost surely, 25435644431 is an apocalyptic number.

5435644431 is a deficient number, since it is larger than the sum of its proper divisors (3463469169).

5435644431 is a wasteful number, since it uses less digits than its factorization.

5435644431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5421 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 5435644431 is about 73726.8230089972. The cubic root of 5435644431 is about 1758.2623637571.

The spelling of 5435644431 in words is "five billion, four hundred thirty-five million, six hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 49 57 133 147 389 399 931 1167 2723 2793 5003 7391 8169 15009 19061 22173 35021 51737 57183 95057 105063 155211 245147 285171 362159 665399 735441 1086477 1946167 1996197 4657793 5838501 13623169 13973379 36977173 40869507 95362183 110931519 258840211 286086549 776520633 1811881477 5435644431