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4635665364 = 2231132312619
BaseRepresentation
bin1000101000100111…
…01010001111010100
3102222001211012101210
410110103222033110
533443212242424
62043554221420
7222606335241
oct42423521724
912861735353
104635665364
111a69792000
12a94584870
1358b526b75
1431d9425c8
151c1e8a729
hex1144ea3d4

4635665364 has 96 divisors (see below), whose sum is σ = 12415656960. Its totient is φ = 1343564640.

The previous prime is 4635665357. The next prime is 4635665381.

4635665364 is nontrivially palindromic in base 10.

It is a congruent number.

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, 361047 + ... + 373665.

It is an arithmetic number, because the mean of its divisors is an integer number (129329760).

Almost surely, 24635665364 is an apocalyptic number.

4635665364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4635665364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207828480).

4635665364 is an abundant number, since it is smaller than the sum of its proper divisors (7779991596).

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

4635665364 is a wasteful number, since it uses less digits than its factorization.

4635665364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 12658 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The square root of 4635665364 is about 68085.7207055929. The cubic root of 4635665364 is about 1667.3906402629.

The spelling of 4635665364 in words is "four billion, six hundred thirty-five million, six hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1331 1452 1518 2662 2783 3036 3993 5324 5566 7986 8349 11132 12619 15972 16698 25238 30613 33396 37857 50476 61226 75714 91839 122452 138809 151428 183678 277618 290237 367356 416427 555236 580474 832854 870711 1160948 1526899 1665708 1741422 3053798 3192607 3482844 4580697 6107596 6385214 9161394 9577821 12770428 16795889 18322788 19155642 33591778 35118677 38311284 50387667 67183556 70237354 100775334 105356031 140474708 201550668 210712062 386305447 421424124 772610894 1158916341 1545221788 2317832682 4635665364