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4812864682184 = 2313974491062557
BaseRepresentation
bin100011000001001010100…
…0101101111100011001000
3122001002211211000000020022
41012002111011233203020
51112323221324312214
614122555521120012
71004501162543156
oct106022505574310
918032754000208
104812864682184
111596140707509
12658922789008
1328bb0b0b8990
14128d300883d6
15852d88bed8e
hex4609516f8c8

4812864682184 has 64 divisors (see below), whose sum is σ = 9840349638000. Its totient is φ = 2193523605504.

The previous prime is 4812864682181. The next prime is 4812864682243.

It is a happy number.

4812864682184 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1860577840900 + 2952286841284 = 1364030^2 + 1718222^2 .

It is not an unprimeable number, because it can be changed into a prime (4812864682181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3998234 + ... + 5060790.

Almost surely, 24812864682184 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 4812864682184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920174819000).

4812864682184 is an abundant number, since it is smaller than the sum of its proper divisors (5027484955816).

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

4812864682184 is a wasteful number, since it uses less digits than its factorization.

4812864682184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063122 (or 1063118 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 62.

The spelling of 4812864682184 in words is "four trillion, eight hundred twelve billion, eight hundred sixty-four million, six hundred eighty-two thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 449 776 898 1261 1796 2522 3592 5044 5837 10088 11674 23348 43553 46696 87106 174212 348424 566189 1062557 1132378 2125114 2264756 4250228 4529512 8500456 13813241 27626482 55252964 103068029 110505928 206136058 412272116 477088093 824544232 954176186 1339884377 1908352372 2679768754 3816704744 5359537508 6202145209 10719075016 12404290418 24808580836 46277545021 49617161672 92555090042 185110180084 370220360168 601608085273 1203216170546 2406432341092 4812864682184