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5479144965 = 3457217109149
BaseRepresentation
bin1010001101001010…
…10001111000000101
3112010211222101220000
411012211101320011
542210130114330
62303405031513
7252530651400
oct50645217005
915124871800
105479144965
11236191a788
12108ab55599
136941c1318
1439d988d37
15221050560
hex146951e05

5479144965 has 240 divisors, whose sum is σ = 12290454000. Its totient is φ = 2320109568.

The previous prime is 5479144943. The next prime is 5479144987. The reversal of 5479144965 is 5694419745.

5479144965 is a `hidden beast` number, since 54 + 7 + 91 + 449 + 65 = 666.

5479144965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5479144943) and next prime (5479144987).

It can be written as a sum of positive squares in 8 ways, for example, as 8767521 + 5470377444 = 2961^2 + 73962^2 .

It is not a de Polignac number, because 5479144965 - 25 = 5479144933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36772711 + ... + 36772859.

It is an arithmetic number, because the mean of its divisors is an integer number (51210225).

Almost surely, 25479144965 is an apocalyptic number.

It is an amenable number.

5479144965 is an abundant number, since it is smaller than the sum of its proper divisors (6811309035).

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

5479144965 is a wasteful number, since it uses less digits than its factorization.

5479144965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5479144965 is about 74021.2467133593. The cubic root of 5479144965 is about 1762.9402648448.

The spelling of 5479144965 in words is "five billion, four hundred seventy-nine million, one hundred forty-four thousand, nine hundred sixty-five".