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8688221745468 = 22329283117175337
BaseRepresentation
bin111111001101110001001…
…0111101111000100111100
31010202120211010000110211220
41332123202113233010330
52114321434231323333
630251151452313340
71554463143222246
oct176334227570474
933676733013756
108688221745468
11284a721745981
12b83a03a72850
134b03acb28605
142207255a9096
15101001e9e8b3
hex7e6e25ef13c

8688221745468 has 96 divisors (see below), whose sum is σ = 21063926204160. Its totient is φ = 2783912302080.

The previous prime is 8688221745403. The next prime is 8688221745557. The reversal of 8688221745468 is 8645471228868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115287096 + ... + 115362432.

It is an arithmetic number, because the mean of its divisors is an integer number (219415897960).

Almost surely, 28688221745468 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 8688221745468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531963102080).

8688221745468 is an abundant number, since it is smaller than the sum of its proper divisors (12375704458692).

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

8688221745468 is a wasteful number, since it uses less digits than its factorization.

8688221745468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76827 (or 76825 counting only the distinct ones).

The product of its digits is 330301440, while the sum is 69.

The spelling of 8688221745468 in words is "eight trillion, six hundred eighty-eight billion, two hundred twenty-one million, seven hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 283 348 566 849 1132 1171 1698 2342 3396 3513 4684 7026 8207 14052 16414 24621 32828 33959 49242 67918 75337 98484 101877 135836 150674 203754 226011 301348 331393 407508 452022 662786 904044 994179 1325572 1988358 2184773 3976716 4369546 6554319 8739092 9610397 13108638 19220794 21320371 26217276 28831191 38441588 42640742 57662382 63961113 85281484 88219627 115324764 127922226 176439254 255844452 264658881 352878508 529317762 618290759 1058635524 1236581518 1854872277 2473163036 2558369183 3709744554 5116738366 7419489108 7675107549 10233476732 15350215098 24966154441 30700430196 49932308882 74898463323 99864617764 149796926646 299593853292 724018478789 1448036957578 2172055436367 2896073915156 4344110872734 8688221745468