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8648448468 = 22311491133439
BaseRepresentation
bin10000000110111110…
…01101100111010100
3211022201120200222020
420003133031213110
5120203000322333
63550102133140
7424213412322
oct100337154724
924281520866
108648448468
113738907380
1218144211b0
13a7a9a2b3a
145c0862d12
153593d83b3
hex2037cd9d4

8648448468 has 48 divisors (see below), whose sum is σ = 22059233280. Its totient is φ = 2615384800.

The previous prime is 8648448467. The next prime is 8648448491.

It is a happy number.

8648448468 is nontrivially palindromic in base 10.

8648448468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8648448461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908 + ... + 131531.

It is an arithmetic number, because the mean of its divisors is an integer number (459567360).

Almost surely, 28648448468 is an apocalyptic number.

It is an amenable number.

8648448468 is an abundant number, since it is smaller than the sum of its proper divisors (13410784812).

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

8648448468 is a wasteful number, since it uses less digits than its factorization.

8648448468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133948 (or 133946 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The square root of 8648448468 is about 92997.0347269202. The cubic root of 8648448468 is about 2052.6397457720.

The spelling of 8648448468 in words is "eight billion, six hundred forty-eight million, four hundred forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 491 982 1473 1964 2946 5401 5892 10802 16203 21604 32406 64812 133439 266878 400317 533756 800634 1467829 1601268 2935658 4403487 5871316 8806974 17613948 65518549 131037098 196555647 262074196 393111294 720704039 786222588 1441408078 2162112117 2882816156 4324224234 8648448468