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4959013072 = 2413192389613
BaseRepresentation
bin1001001111001010…
…01000100011010000
3110210121020222001211
410213211020203100
540124001404242
62140024505504
7233613626026
oct44745104320
913717228054
104959013072
112115262a12
12b6491b294
1361050aa80
14350872716
151e055c317
hex1279488d0

4959013072 has 160 divisors (see below), whose sum is σ = 11511763200. Its totient is φ = 2047389696.

The previous prime is 4959013061. The next prime is 4959013109. The reversal of 4959013072 is 2703109594.

It is a super-3 number, since 3×49590130723 (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8089438 + ... + 8090050.

It is an arithmetic number, because the mean of its divisors is an integer number (71948520).

Almost surely, 24959013072 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 4959013072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755881600).

4959013072 is an abundant number, since it is smaller than the sum of its proper divisors (6552750128).

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

4959013072 is a wasteful number, since it uses less digits than its factorization.

4959013072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 4959013072 is about 70420.2603800923. The cubic root of 4959013072 is about 1705.2906768711.

The spelling of 4959013072 in words is "four billion, nine hundred fifty-nine million, thirteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 89 92 104 152 178 184 208 247 299 304 356 368 437 494 598 613 712 874 988 1157 1196 1226 1424 1691 1748 1976 2047 2314 2392 2452 3382 3496 3952 4094 4628 4784 4904 5681 6764 6992 7969 8188 9256 9808 11362 11647 13528 14099 15938 16376 18512 21983 22724 23294 26611 27056 28198 31876 32752 38893 43966 45448 46588 53222 54557 56396 63752 77786 87932 90896 93176 106444 109114 112792 127504 151411 155572 175864 183287 186352 212888 218228 225584 267881 302822 311144 351728 366574 425776 436456 505609 535762 605644 622288 709241 733148 872912 1011218 1036583 1071524 1211288 1254811 1418482 1466296 2022436 2073166 2143048 2422576 2509622 2836964 2932592 3482453 4044872 4146332 4286096 5019244 5673928 6964906 8089744 8292664 10038488 11347856 13475579 13929812 16312543 16585328 20076976 23841409 26951158 27859624 32625086 47682818 53902316 55719248 65250172 95365636 107804632 130500344 190731272 215609264 261000688 309938317 381462544 619876634 1239753268 2479506536 4959013072