Search a number
-
+
5006060544 = 21033152567
BaseRepresentation
bin1001010100110001…
…00110110000000000
3110220212210020001210
410222120212300000
540223022414134
62144425130120
7235024545462
oct45230466000
913825706053
105006060544
112139877421
12b78629940
1361a1a1304
14356bdc132
151e47522e9
hex12a626c00

5006060544 has 88 divisors (see below), whose sum is σ = 13773657088. Its totient is φ = 1614827520.

The previous prime is 5006060509. The next prime is 5006060551. The reversal of 5006060544 is 4450606005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68949 + ... + 121515.

Almost surely, 25006060544 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 5006060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886828544).

5006060544 is an abundant number, since it is smaller than the sum of its proper divisors (8767596544).

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

5006060544 is a wasteful number, since it uses less digits than its factorization.

5006060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52621 (or 52603 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5006060544 is about 70753.5196580354. The cubic root of 5006060544 is about 1710.6665600166. Note that the first 3 decimals are identical.

Adding to 5006060544 its reverse (4450606005), we get a palindrome (9456666549).

The spelling of 5006060544 in words is "five billion, six million, sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 15872 23808 31744 47616 52567 95232 105134 157701 210268 315402 420536 630804 841072 1261608 1629577 1682144 2523216 3259154 3364288 4888731 5046432 6518308 6728576 9777462 10092864 13036616 13457152 19554924 20185728 26073232 26914304 39109848 40371456 52146464 53828608 78219696 80742912 104292928 156439392 161485824 208585856 312878784 417171712 625757568 834343424 1251515136 1668686848 2503030272 5006060544