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8332522016 = 2571321032137
BaseRepresentation
bin1111100001010100…
…00011001000100000
3210111201002222100112
413300222003020200
5114031111201031
63454454510452
7413326161050
oct76052031040
923451088315
108332522016
113596545135
121746665428
13a2a3b9b00
14590905560
1533b7d062b
hex1f0a83220

8332522016 has 144 divisors (see below), whose sum is σ = 20507969664. Its totient is φ = 3262851072.

The previous prime is 8332522013. The next prime is 8332522019. The reversal of 8332522016 is 6102252338.

It is an interprime number because it is at equal distance from previous prime (8332522013) and next prime (8332522019).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8332522013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898100 + ... + 3900236.

It is an arithmetic number, because the mean of its divisors is an integer number (142416456).

Almost surely, 28332522016 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 8332522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253984832).

8332522016 is an abundant number, since it is smaller than the sum of its proper divisors (12175447648).

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

8332522016 is a wasteful number, since it uses less digits than its factorization.

8332522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 8332522016 is about 91282.6490413156. The cubic root of 8332522016 is about 2027.3348684438.

The spelling of 8332522016 in words is "eight billion, three hundred thirty-two million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 103 104 112 169 182 206 208 224 338 364 412 416 676 721 728 824 1183 1339 1352 1442 1456 1648 2137 2366 2678 2704 2884 2912 3296 4274 4732 5356 5408 5768 8548 9373 9464 10712 11536 14959 17096 17407 18746 18928 21424 23072 27781 29918 34192 34814 37492 37856 42848 55562 59836 68384 69628 74984 111124 119672 121849 139256 149968 194467 220111 222248 239344 243698 278512 299936 361153 388934 440222 444496 478688 487396 557024 722306 777868 880444 888992 974792 1444612 1540777 1555736 1760888 1949584 2528071 2861443 2889224 3081554 3111472 3521776 3899168 5056142 5722886 5778448 6163108 6222944 7043552 10112284 11445772 11556896 12326216 20030101 20224568 22891544 24652432 37198759 40060202 40449136 45783088 49304864 74397518 80120404 80898272 91566176 148795036 160240808 260391313 297590072 320481616 520782626 595180144 640963232 1041565252 1190360288 2083130504 4166261008 8332522016