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8868319416 = 23321121759879
BaseRepresentation
bin10000100001001011…
…11101000010111000
3211220001022022012200
420100211331002320
5121130242210131
64023554510200
7432523320435
oct102045750270
924801268180
108868319416
113840a31700
121875b95360
13ab43c68a8
14601b38b8c
1536d86a2e6
hex21097d0b8

8868319416 has 144 divisors (see below), whose sum is σ = 27953780400. Its totient is φ = 2529246720.

The previous prime is 8868319373. The next prime is 8868319417. The reversal of 8868319416 is 6149138688.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8868319417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118165 + ... + 178043.

It is an arithmetic number, because the mean of its divisors is an integer number (194123475).

Almost surely, 28868319416 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 8868319416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976890200).

8868319416 is an abundant number, since it is smaller than the sum of its proper divisors (19085460984).

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

8868319416 is a wasteful number, since it uses less digits than its factorization.

8868319416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59930 (or 59912 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 8868319416 is about 94171.7548737412. The cubic root of 8868319416 is about 2069.8892498333.

The spelling of 8868319416 in words is "eight billion, eight hundred sixty-eight million, three hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 121 132 136 153 187 198 204 242 264 306 363 374 396 408 484 561 612 726 748 792 968 1089 1122 1224 1452 1496 1683 2057 2178 2244 2904 3366 4114 4356 4488 6171 6732 8228 8712 12342 13464 16456 18513 24684 37026 49368 59879 74052 119758 148104 179637 239516 359274 479032 538911 658669 718548 1017943 1077822 1317338 1437096 1976007 2035886 2155644 2634676 3053829 3952014 4071772 4311288 5269352 5928021 6107658 7245359 7904028 8143544 9161487 11197373 11856042 12215316 14490718 15808056 18322974 21736077 22394746 23712084 24430632 28981436 33592119 36645948 43472154 44789492 47424168 57962872 65208231 67184238 73291896 86944308 89578984 100776357 123171103 130416462 134368476 173888616 201552714 246342206 260832924 268736952 369513309 403105428 492684412 521665848 739026618 806210856 985368824 1108539927 1478053236 2217079854 2956106472 4434159708 8868319416