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8078898816 = 27328978797
BaseRepresentation
bin1111000011000101…
…00011011010000000
3202212000212120201200
413201202203122000
5113021144230231
63413354501200
7404126335602
oct74142433200
922760776650
108078898816
11347636728a
121695734800
139b99a9201
14568d65172
153243d2be6
hex1e18a3680

8078898816 has 96 divisors (see below), whose sum is σ = 23509383300. Its totient is φ = 2662674432.

The previous prime is 8078898803. The next prime is 8078898853. The reversal of 8078898816 is 6188988708.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8078414400 + 484416 = 89880^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63130 + ... + 141926.

Almost surely, 28078898816 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 8078898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754691650).

8078898816 is an abundant number, since it is smaller than the sum of its proper divisors (15430484484).

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

8078898816 is a wasteful number, since it uses less digits than its factorization.

8078898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78906 (or 78891 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The square root of 8078898816 is about 89882.6947526608. The cubic root of 8078898816 is about 2006.5534043251.

The spelling of 8078898816 in words is "eight billion, seventy-eight million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1424 1602 2136 2848 3204 4272 5696 6408 8544 11392 12816 17088 25632 34176 51264 78797 102528 157594 236391 315188 472782 630376 709173 945564 1260752 1418346 1891128 2521504 2836692 3782256 5043008 5673384 7012933 7564512 10086016 11346768 14025866 15129024 21038799 22693536 28051732 30258048 42077598 45387072 56103464 63116397 84155196 90774144 112206928 126232794 168310392 224413856 252465588 336620784 448827712 504931176 673241568 897655424 1009862352 1346483136 2019724704 2692966272 4039449408 8078898816