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5779302016 = 27613072411
BaseRepresentation
bin1010110000111100…
…10010011010000000
3112220202202221221211
411120132102122000
543314000131031
62353250255504
7263134154005
oct53036223200
915822687854
105779302016
1124a62a1164
121153587594
13711445747
143cb79d8ac
1523c590bb1
hex158792680

5779302016 has 64 divisors (see below), whose sum is σ = 11745185760. Its totient is φ = 2831846400.

The previous prime is 5779301951. The next prime is 5779302019. The reversal of 5779302016 is 6102039775.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5779302016.

It is not an unprimeable number, because it can be changed into a prime (5779302019) 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 7 ways as a sum of consecutive naturals, for example, 2395851 + ... + 2398261.

Almost surely, 25779302016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5779302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872592880).

5779302016 is an abundant number, since it is smaller than the sum of its proper divisors (5965883744).

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

5779302016 is a wasteful number, since it uses less digits than its factorization.

5779302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 5779302016 is about 76021.7206856041. The cubic root of 5779302016 is about 1794.5619843556.

The spelling of 5779302016 in words is "five billion, seven hundred seventy-nine million, three hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 307 488 614 976 1228 1952 2411 2456 3904 4822 4912 7808 9644 9824 18727 19288 19648 37454 38576 39296 74908 77152 147071 149816 154304 294142 299632 308608 588284 599264 740177 1176568 1198528 1480354 2353136 2397056 2960708 4706272 5921416 9412544 11842832 18825088 23685664 45150797 47371328 90301594 94742656 180603188 361206376 722412752 1444825504 2889651008 5779302016