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5183028864 = 273313115363
BaseRepresentation
bin1001101001110111…
…01011111010000000
3111101012210010222000
410310323223322000
541103323410424
62214150144000
7242304006216
oct46473537200
914335703860
105183028864
11221a759332
121007952000
13647a532b0
14372506cb6
1520505c3c9
hex134eebe80

5183028864 has 128 divisors (see below), whose sum is σ = 16473979200. Its totient is φ = 1594764288.

The previous prime is 5183028853. The next prime is 5183028869. The reversal of 5183028864 is 4688203815.

5183028864 is a `hidden beast` number, since 518 + 30 + 28 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5183028869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12754 + ... + 102609.

Almost surely, 25183028864 is an apocalyptic number.

5183028864 is a gapful number since it is divisible by the number (54) 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 5183028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236989600).

5183028864 is an abundant number, since it is smaller than the sum of its proper divisors (11290950336).

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

5183028864 is a wasteful number, since it uses less digits than its factorization.

5183028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115399 (or 115381 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5183028864 is about 71993.2556841264. The cubic root of 5183028864 is about 1730.5914050519.

The spelling of 5183028864 in words is "five billion, one hundred eighty-three million, twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 115363 230726 346089 461452 692178 922904 1038267 1384356 1499719 1845808 2076534 2768712 2999438 3114801 3691616 4153068 4499157 5537424 5998876 6229602 7383232 8306136 8998314 11074848 11997752 12459204 13497471 14766464 16612272 17996628 22149696 23995504 24918408 26994942 33224544 35993256 40492413 44299392 47991008 49836816 53989884 66449088 71986512 80984826 95982016 99673632 107979768 132898176 143973024 161969652 191964032 199347264 215959536 287946048 323939304 398694528 431919072 575892096 647878608 863838144 1295757216 1727676288 2591514432 5183028864