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4729274676 = 22327174325673
BaseRepresentation
bin1000110011110001…
…10000000100110100
3110012120222001020100
410121320300010310
534141143242201
62101140434100
7225124112550
oct43170600464
913176861210
104729274676
112007609075
12abb9a8930
135a4a408a9
1432c14c860
151ca2cb886
hex119e30134

4729274676 has 144 divisors (see below), whose sum is σ = 14803012224. Its totient is φ = 1242114048.

The previous prime is 4729274611. The next prime is 4729274677. The reversal of 4729274676 is 6764729274.

It is a super-2 number, since 2×47292746762 = 44732077922109809952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4729274677) 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 47 ways as a sum of consecutive naturals, for example, 171376 + ... + 197048.

It is an arithmetic number, because the mean of its divisors is an integer number (102798696).

Almost surely, 24729274676 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 4729274676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401506112).

4729274676 is an abundant number, since it is smaller than the sum of its proper divisors (10073737548).

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

4729274676 is a wasteful number, since it uses less digits than its factorization.

4729274676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25750 (or 25745 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 4729274676 is about 68769.7220875583. The cubic root of 4729274676 is about 1678.5392958105.

The spelling of 4729274676 in words is "four billion, seven hundred twenty-nine million, two hundred seventy-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 119 126 129 153 172 204 238 252 258 301 306 357 387 476 516 602 612 714 731 774 903 1071 1204 1428 1462 1548 1806 2142 2193 2709 2924 3612 4284 4386 5117 5418 6579 8772 10234 10836 13158 15351 20468 25673 26316 30702 46053 51346 61404 77019 92106 102692 154038 179711 184212 231057 308076 359422 436441 462114 539133 718844 872882 924228 1078266 1103939 1309323 1617399 1745764 2156532 2207878 2618646 3055087 3234798 3311817 3927969 4415756 5237292 6110174 6469596 6623634 7727573 7855938 9165261 9935451 12220348 13247268 15455146 15711876 18330522 18766963 19870902 23182719 27495783 30910292 36661044 37533926 39741804 46365438 54991566 56300889 69548157 75067852 92730876 109983132 112601778 131368741 139096314 168902667 225203556 262737482 278192628 337805334 394106223 525474964 675610668 788212446 1182318669 1576424892 2364637338 4729274676