Search a number
-
+
5074280016 = 2431343281673
BaseRepresentation
bin1001011100111001…
…10101111001010000
3111002122011010120220
410232130311321100
540343003430031
62155303233040
7236513445201
oct45634657120
914078133526
105074280016
112174331753
12b97448780
1362b368570
14361cb95a8
151ea72a596
hex12e735e50

5074280016 has 160 divisors (see below), whose sum is σ = 14518154112. Its totient is φ = 1517322240.

The previous prime is 5074279999. The next prime is 5074280023. The reversal of 5074280016 is 6100824705.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7539456 + ... + 7540128.

Almost surely, 25074280016 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 5074280016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259077056).

5074280016 is an abundant number, since it is smaller than the sum of its proper divisors (9443874096).

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

5074280016 is a wasteful number, since it uses less digits than its factorization.

5074280016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5074280016 is about 71233.9807676084. The cubic root of 5074280016 is about 1718.4021595134.

The spelling of 5074280016 in words is "five billion, seventy-four million, two hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 281 312 344 516 559 562 624 673 688 843 1032 1118 1124 1346 1677 1686 2019 2064 2236 2248 2692 3354 3372 3653 4038 4472 4496 5384 6708 6744 7306 8076 8749 8944 10768 10959 12083 13416 13488 14612 16152 17498 21918 24166 26247 26832 28939 29224 32304 34996 36249 43836 48332 52494 57878 58448 69992 72498 86817 87672 96664 104988 115756 139984 144996 157079 173634 175344 189113 193328 209976 231512 289992 314158 347268 376207 378226 419952 463024 471237 567339 579984 628316 694536 752414 756452 942474 1128621 1134678 1256632 1389072 1504828 1512904 1884948 2257242 2269356 2458469 2513264 3009656 3025808 3769896 4514484 4538712 4916938 6019312 7375407 7539792 8131859 9028968 9077424 9833876 14750814 16263718 18057936 19667752 24395577 29501628 32527436 39335504 48791154 59003256 65054872 97582308 105714167 118006512 130109744 195164616 211428334 317142501 390329232 422856668 634285002 845713336 1268570004 1691426672 2537140008 5074280016