Search a number
-
+
5019030864 = 24364310007
BaseRepresentation
bin1001010110010100…
…00101010101010000
3110221210012012000000
410223022011111100
540234332441424
62150011130000
7235243026021
oct45312052520
913853165000
105019030864
1121461261a1
12b80a43900
1361ca92b63
14358816c48
151e59653c9
hex12b285550

5019030864 has 140 divisors (see below), whose sum is σ = 14920446816. Its totient is φ = 1633939776.

The previous prime is 5019030857. The next prime is 5019030881. The reversal of 5019030864 is 4680309105.

5019030864 is a `hidden beast` number, since 501 + 90 + 3 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 496549 + ... + 506555.

Almost surely, 25019030864 is an apocalyptic number.

5019030864 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 5019030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460223408).

5019030864 is an abundant number, since it is smaller than the sum of its proper divisors (9901415952).

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

5019030864 is a wasteful number, since it uses less digits than its factorization.

5019030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5019030864 is about 70845.1188438554. The cubic root of 5019030864 is about 1712.1426879791.

Adding to 5019030864 its reverse (4680309105), we get a palindrome (9699339969).

The spelling of 5019030864 in words is "five billion, nineteen million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 324 344 387 432 486 516 648 688 729 774 972 1032 1161 1296 1458 1548 1944 2064 2322 2916 3096 3483 3888 4644 5832 6192 6966 9288 10007 10449 11664 13932 18576 20014 20898 27864 30021 31347 40028 41796 55728 60042 62694 80056 83592 90063 120084 125388 160112 167184 180126 240168 250776 270189 360252 430301 480336 501552 540378 720504 810567 860602 1080756 1290903 1441008 1621134 1721204 2161512 2431701 2581806 3242268 3442408 3872709 4323024 4863402 5163612 6484536 6884816 7295103 7745418 9726804 10327224 11618127 12969072 14590206 15490836 19453608 20654448 23236254 29180412 30981672 34854381 38907216 46472508 58360824 61963344 69708762 92945016 104563143 116721648 139417524 185890032 209126286 278835048 313689429 418252572 557670096 627378858 836505144 1254757716 1673010288 2509515432 5019030864