Search a number
-
+
5118444048 = 2431719536229
BaseRepresentation
bin1001100010001010…
…10100001000010000
3111012201020220020210
410301011110020100
540440310202143
62203522004120
7240561025254
oct46105241020
914181226223
105118444048
112197256853
12baa1a6640
1363755c523
14367ad4264
151ee551033
hex131154210

5118444048 has 160 divisors (see below), whose sum is σ = 15017788800. Its totient is φ = 1492328448.

The previous prime is 5118444013. The next prime is 5118444053. The reversal of 5118444048 is 8404448115.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5118443997 and 5118444015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818598 + ... + 824826.

It is an arithmetic number, because the mean of its divisors is an integer number (93861180).

Almost surely, 25118444048 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 5118444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508894400).

5118444048 is an abundant number, since it is smaller than the sum of its proper divisors (9899344752).

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

5118444048 is a wasteful number, since it uses less digits than its factorization.

5118444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 5118444048 is about 71543.3019087042. The cubic root of 5118444048 is about 1723.3731407445.

The spelling of 5118444048 in words is "five billion, one hundred eighteen million, four hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 53 57 68 76 102 106 114 136 152 159 204 212 228 272 304 318 323 408 424 456 636 646 816 848 901 912 969 1007 1272 1292 1802 1938 2014 2544 2584 2703 3021 3604 3876 4028 5168 5406 6042 6229 7208 7752 8056 10812 12084 12458 14416 15504 16112 17119 18687 21624 24168 24916 34238 37374 43248 48336 49832 51357 68476 74748 99664 102714 105893 118351 136952 149496 205428 211786 236702 273904 298992 317679 330137 355053 410856 423572 473404 635358 660274 710106 821712 847144 946808 990411 1270716 1320548 1420212 1694288 1893616 1980822 2011967 2541432 2641096 2840424 3961644 4023934 5082864 5282192 5612329 5680848 6035901 6272603 7923288 8047868 11224658 12071802 12545206 15846576 16095736 16836987 18817809 22449316 24143604 25090412 32191472 33673974 37635618 44898632 48287208 50180824 67347948 75271236 89797264 96574416 100361648 106634251 134695896 150542472 213268502 269391792 301084944 319902753 426537004 639805506 853074008 1279611012 1706148016 2559222024 5118444048