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4476682672 = 2471129125299
BaseRepresentation
bin1000010101101010…
…01100000110110000
3102112222200001010221
410022311030012300
533132012321142
62020114502424
7215636113660
oct41265140660
912488601127
104476682672
111997a74a50
12a4b294a14
13564601477
1430679a1a0
151b3034767
hex10ad4c1b0

4476682672 has 80 divisors (see below), whose sum is σ = 11186784000. Its totient is φ = 1684005120.

The previous prime is 4476682603. The next prime is 4476682673. The reversal of 4476682672 is 2762866744.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4476682673) 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 15 ways as a sum of consecutive naturals, for example, 26922 + ... + 98377.

It is an arithmetic number, because the mean of its divisors is an integer number (139834800).

Almost surely, 24476682672 is an apocalyptic number.

It is an amenable number.

4476682672 is an abundant number, since it is smaller than the sum of its proper divisors (6710101328).

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

4476682672 is a wasteful number, since it uses less digits than its factorization.

4476682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125354 (or 125348 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 52.

The square root of 4476682672 is about 66908.0165002670. The cubic root of 4476682672 is about 1648.1071249527.

The spelling of 4476682672 in words is "four billion, four hundred seventy-six million, six hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 8932 17864 35728 125299 250598 501196 877093 1002392 1378289 1754186 2004784 2756578 3508372 3633671 5513156 7016744 7267342 9648023 11026312 14033488 14534684 19296046 22052624 25435697 29069368 38592092 39970381 50871394 58138736 77184184 79940762 101742788 154368368 159881524 203485576 279792667 319763048 406971152 559585334 639526096 1119170668 2238341336 4476682672