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8648778468 = 2231125956459
BaseRepresentation
bin10000000111000000…
…11110001011100100
3211022202012110122110
420003200132023210
5120203041402333
63550113201020
7424216255401
oct100340361344
924282173573
108648778468
113739012300
121814560170
13a7aa8a0c5
145c090b2a8
15359451063
hex20381e2e4

8648778468 has 36 divisors (see below), whose sum is σ = 22181857040. Its totient is φ = 2620841520.

The previous prime is 8648778449. The next prime is 8648778491.

8648778468 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8648778399 and 8648778408.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2976778 + ... + 2979681.

Almost surely, 28648778468 is an apocalyptic number.

It is an amenable number.

8648778468 is an abundant number, since it is smaller than the sum of its proper divisors (13533078572).

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

8648778468 is a wasteful number, since it uses less digits than its factorization.

8648778468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956488 (or 5956475 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 66.

The square root of 8648778468 is about 92998.8089601152. The cubic root of 8648778468 is about 2052.6658530560.

The spelling of 8648778468 in words is "eight billion, six hundred forty-eight million, seven hundred seventy-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 5956459 11912918 17869377 23825836 35738754 65521049 71477508 131042098 196563147 262084196 393126294 720731539 786252588 1441463078 2162194617 2882926156 4324389234 8648778468