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5315135440 = 24566439193
BaseRepresentation
bin1001111001100111…
…01000011111010000
3111201102100212010011
410330303220133100
541341133313230
62235225444304
7245466622456
oct47463503720
914642325104
105315135440
112288289a1a
121044040694
13669228874
14385c949d6
15211954e2a
hex13cce87d0

5315135440 has 20 divisors (see below), whose sum is σ = 12357690084. Its totient is φ = 2126054144.

The previous prime is 5315135437. The next prime is 5315135453. The reversal of 5315135440 is 445315135.

It can be written as a sum of positive squares in 2 ways, for example, as 2318229904 + 2996905536 = 48148^2 + 54744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33219517 + ... + 33219676.

Almost surely, 25315135440 is an apocalyptic number.

It is an amenable number.

5315135440 is an abundant number, since it is smaller than the sum of its proper divisors (7042554644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5315135440 is a wasteful number, since it uses less digits than its factorization.

5315135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66439206 (or 66439200 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5315135440 is about 72904.9754132048. The cubic root of 5315135440 is about 1745.1714995249.

The spelling of 5315135440 in words is "five billion, three hundred fifteen million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 66439193 132878386 265756772 332195965 531513544 664391930 1063027088 1328783860 2657567720 5315135440