Search a number
-
+
5766504016 = 247138347717
BaseRepresentation
bin1010101111011010…
…11101111001010000
3112212212200202101211
411113231131321100
543302211112031
62352112105504
7262620322030
oct52755357120
915785622354
105766504016
11249a04a8a9
12114b235294
1370b8b4470
143c9bcb8c0
1523b3b3bb1
hex157b5de50

5766504016 has 80 divisors (see below), whose sum is σ = 13916859264. Its totient is φ = 2253722112.

The previous prime is 5766504013. The next prime is 5766504049. The reversal of 5766504016 is 6104056675.

It is a self number, because there is not a number n which added to its sum of digits gives 5766504016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766504013) 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 15 ways as a sum of consecutive naturals, for example, 96990 + ... + 144706.

Almost surely, 25766504016 is an apocalyptic number.

5766504016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958429632).

5766504016 is an abundant number, since it is smaller than the sum of its proper divisors (8150355248).

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

5766504016 is a wasteful number, since it uses less digits than its factorization.

5766504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47828 (or 47822 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 5766504016 is about 75937.5007226337. The cubic root of 5766504016 is about 1793.2363468721.

The spelling of 5766504016 in words is "five billion, seven hundred sixty-six million, five hundred four thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1079 1162 1328 1456 2158 2324 4316 4648 7553 8632 9296 15106 17264 30212 47717 60424 95434 120848 190868 334019 381736 620321 668038 763472 1240642 1336076 2481284 2672152 3960511 4342247 4962568 5344304 7921022 8684494 9925136 15842044 17368988 27723577 31684088 34737976 51486643 55447154 63368176 69475952 102973286 110894308 205946572 221788616 360406501 411893144 443577232 720813002 823786288 1441626004 2883252008 5766504016