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8039314688 = 28171979377
BaseRepresentation
bin1110111110010111…
…00011010100000000
3202202021101111111212
413133023203110000
5112431031032223
63405422225252
7403136022146
oct73713432400
922667344455
108039314688
113455a90129
121684425228
139b1729a52
145639bd596
15320bb4278
hex1df2e3500

8039314688 has 72 divisors (see below), whose sum is σ = 17079251112. Its totient is φ = 3763601408.

The previous prime is 8039314667. The next prime is 8039314691. The reversal of 8039314688 is 8864139308.

It can be written as a sum of positive squares in 4 ways, for example, as 2850705664 + 5188609024 = 53392^2 + 72032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852656 + ... + 862032.

It is an arithmetic number, because the mean of its divisors is an integer number (237211821).

Almost surely, 28039314688 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 8039314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539625556).

8039314688 is an abundant number, since it is smaller than the sum of its proper divisors (9039936424).

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

8039314688 is a wasteful number, since it uses less digits than its factorization.

8039314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 8039314688 is about 89662.2255356178. The cubic root of 8039314688 is about 2003.2708717827.

The spelling of 8039314688 in words is "eight billion, thirty-nine million, three hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 197 256 272 394 544 788 1088 1576 2176 3152 3349 4352 6304 6698 9377 12608 13396 18754 25216 26792 37508 50432 53584 75016 107168 150032 159409 214336 300064 318818 428672 600128 637636 857344 1200256 1275272 1847269 2400512 2550544 3694538 5101088 7389076 10202176 14778152 20404352 29556304 31403573 40808704 59112608 62807146 118225216 125614292 236450432 251228584 472900864 502457168 1004914336 2009828672 4019657344 8039314688