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8073650016 = 253283933413
BaseRepresentation
bin1111000010011101…
…00001111101100000
3202211122222220201200
413201032201331200
5113013323300031
63413050201200
7404033615145
oct74116417540
922748886650
108073650016
113473401833
121693a23200
139b888c103
1456839a3cc
15323be78e6
hex1e13a1f60

8073650016 has 72 divisors (see below), whose sum is σ = 22987495440. Its totient is φ = 2687928576.

The previous prime is 8073649939. The next prime is 8073650021. The reversal of 8073650016 is 6100563708.

8073650016 is a `hidden beast` number, since 80 + 73 + 6 + 500 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224926 + ... + 258338.

It is an arithmetic number, because the mean of its divisors is an integer number (319270770).

Almost surely, 28073650016 is an apocalyptic number.

It is an amenable number.

8073650016 is an abundant number, since it is smaller than the sum of its proper divisors (14913845424).

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

8073650016 is a wasteful number, since it uses less digits than its factorization.

8073650016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34268 (or 34257 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8073650016 is about 89853.4919521774. The cubic root of 8073650016 is about 2006.1187626152.

The spelling of 8073650016 in words is "eight billion, seventy-three million, six hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 839 1678 2517 3356 5034 6712 7551 10068 13424 15102 20136 26848 30204 33413 40272 60408 66826 80544 100239 120816 133652 200478 241632 267304 300717 400956 534608 601434 801912 1069216 1202868 1603824 2405736 3207648 4811472 9622944 28033507 56067014 84100521 112134028 168201042 224268056 252301563 336402084 448536112 504603126 672804168 897072224 1009206252 1345608336 2018412504 2691216672 4036825008 8073650016