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4630258116 = 223211210312
BaseRepresentation
bin1000100111111110…
…00010000111000100
3102221200122111001100
410103333002013010
533440321224431
62043242300100
7222512354541
oct42377020704
912850574040
104630258116
111a66729500
12a927b7630
1358a382903
1431cd35bc8
151c176d4e6
hex113fc21c4

4630258116 has 81 divisors (see below), whose sum is σ = 12877507279. Its totient is φ = 1401747600.

The previous prime is 4630258093. The next prime is 4630258163. The reversal of 4630258116 is 6118520364.

It is a happy number.

The square root of 4630258116 is 68046.

It is a perfect power (a square), and thus also a powerful number.

4630258116 is a `hidden beast` number, since 4 + 63 + 0 + 2 + 581 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4490521 + ... + 4491551.

Almost surely, 24630258116 is an apocalyptic number.

4630258116 is the 68046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630258116

4630258116 is an abundant number, since it is smaller than the sum of its proper divisors (8247249163).

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

4630258116 is a wasteful number, since it uses less digits than its factorization.

4630258116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 4630258116 is about 1666.7420816186.

Multiplying 4630258116 by its sum of digits (36), we get a square (166689292176 = 4082762).

4630258116 divided by its sum of digits (36) gives a square (128618281 = 113412).

The spelling of 4630258116 in words is "four billion, six hundred thirty million, two hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1031 1089 1452 2062 2178 3093 4124 4356 6186 9279 11341 12372 18558 22682 34023 37116 45364 68046 102069 124751 136092 204138 249502 374253 408276 499004 748506 1062961 1122759 1497012 2125922 2245518 3188883 4251844 4491036 6377766 9566649 11692571 12755532 19133298 23385142 35077713 38266596 46770284 70155426 105233139 128618281 140310852 210466278 257236562 385854843 420932556 514473124 771709686 1157564529 1543419372 2315129058 4630258116