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4481613864 = 2332713684007
BaseRepresentation
bin1000010110010000…
…00000000000101000
3102120022221120110200
410023020000000220
533134243120424
62020412312200
7216026042430
oct41310000050
912508846420
104481613864
11199a832912
12a50a72660
13565639b30
143072c12c0
151b36aa8c9
hex10b200028

4481613864 has 96 divisors (see below), whose sum is σ = 14938734720. Its totient is φ = 1181962368.

The previous prime is 4481613841. The next prime is 4481613869. The reversal of 4481613864 is 4683161844.

4481613864 is a `hidden beast` number, since 448 + 16 + 138 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4481613869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335452 + ... + 348555.

It is an arithmetic number, because the mean of its divisors is an integer number (155611820).

Almost surely, 24481613864 is an apocalyptic number.

It is an amenable number.

4481613864 is an abundant number, since it is smaller than the sum of its proper divisors (10457120856).

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

4481613864 is a wasteful number, since it uses less digits than its factorization.

4481613864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684039 (or 684032 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4481613864 is about 66944.8568898314. The cubic root of 4481613864 is about 1648.7120483600.

The spelling of 4481613864 in words is "four billion, four hundred eighty-one million, six hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 684007 1368014 2052021 2736028 4104042 4788049 5472056 6156063 8208084 8892091 9576098 12312126 14364147 16416168 17784182 19152196 24624252 26676273 28728294 35568364 38304392 43092441 49248504 53352546 57456588 62244637 71136728 80028819 86184882 106705092 114913176 124489274 160057638 172369764 186733911 213410184 248978548 320115276 344739528 373467822 497957096 560201733 640230552 746935644 1120403466 1493871288 2240806932 4481613864