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8825002016 = 253753672099
BaseRepresentation
bin10000011100000001…
…01101100000100000
3211210000210112220112
420032000231200200
5121033200031031
64015410230452
7431456164565
oct101600554040
924700715815
108825002016
1138195356a6
121863585428
13aa843b0ac
145da0a086c
15369b6062b
hex20e02d820

8825002016 has 96 divisors (see below), whose sum is σ = 18460612800. Its totient is φ = 4147393536.

The previous prime is 8825001947. The next prime is 8825002051. The reversal of 8825002016 is 6102005288.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4203335 + ... + 4205433.

It is an arithmetic number, because the mean of its divisors is an integer number (192298050).

Almost surely, 28825002016 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 8825002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230306400).

8825002016 is an abundant number, since it is smaller than the sum of its proper divisors (9635610784).

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

8825002016 is a wasteful number, since it uses less digits than its factorization.

8825002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8825002016 is about 93941.4818703644. The cubic root of 8825002016 is about 2066.5136157672.

The spelling of 8825002016 in words is "eight billion, eight hundred twenty-five million, two thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 53 67 74 106 134 148 212 268 296 424 536 592 848 1072 1184 1696 1961 2099 2144 2479 3551 3922 4198 4958 7102 7844 8396 9916 14204 15688 16792 19832 28408 31376 33584 39664 56816 62752 67168 77663 79328 111247 113632 131387 140633 155326 222494 262774 281266 310652 444988 525548 562532 621304 889976 1051096 1125064 1242608 1779952 2102192 2250128 2485216 3559904 4116139 4204384 4500256 5203421 7453549 8232278 10406842 14907098 16464556 20813684 29814196 32929112 41627368 59628392 65858224 83254736 119256784 131716448 166509472 238513568 275781313 551562626 1103125252 2206250504 4412501008 8825002016