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5006109888 = 263213251427
BaseRepresentation
bin1001010100110001…
…10010110011000000
3110220212212201202100
410222120302303000
540223031004023
62144430150400
7235025142363
oct45230626300
913825781670
105006109888
1121399004aa
12b78652400
1361a1ba900
14356c120da
151e4761c43
hex12a632cc0

5006109888 has 126 divisors (see below), whose sum is σ = 15538095924. Its totient is φ = 1540311552.

The previous prime is 5006109883. The next prime is 5006109893. The reversal of 5006109888 is 8889016005.

5006109888 is a `hidden beast` number, since 500 + 61 + 0 + 9 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (5006109883) and next prime (5006109893).

It is a super-2 number, since 2×50061098882 = 50122272421462745088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5006109883) 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 17 ways as a sum of consecutive naturals, for example, 71631 + ... + 123057.

Almost surely, 25006109888 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 5006109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769047962).

5006109888 is an abundant number, since it is smaller than the sum of its proper divisors (10531986036).

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

5006109888 is a wasteful number, since it uses less digits than its factorization.

5006109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51471 (or 51445 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 5006109888 is about 70753.8683606769. The cubic root of 5006109888 is about 1710.6721805940.

The spelling of 5006109888 in words is "five billion, six million, one hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 51427 97344 102854 154281 205708 308562 411416 462843 617124 668551 822832 925686 1234248 1337102 1645664 1851372 2005653 2468496 2674204 3291328 3702744 4011306 4936992 5348408 6016959 7405488 8022612 8691163 9873984 10696816 12033918 14810976 16045224 17382326 21393632 24067836 26073489 29621952 32090448 34764652 42787264 48135672 52146978 64180896 69529304 78220467 96271344 104293956 128361792 139058608 156440934 192542688 208587912 278117216 312881868 385085376 417175824 556234432 625763736 834351648 1251527472 1668703296 2503054944 5006109888