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8120868928 = 263714932297
BaseRepresentation
bin1111001000000101…
…01010000001000000
3202221221211212220021
413210002222001000
5113112420301203
63421454223224
7405146150464
oct74402520100
922857755807
108120868928
113498023027
1216a77b4b14
139c55b26b3
1457076c4a4
15327e235bd
hex1e40aa040

8120868928 has 56 divisors (see below), whose sum is σ = 16568681112. Its totient is φ = 3946328064.

The previous prime is 8120868919. The next prime is 8120868937. The reversal of 8120868928 is 8298680218.

It is an interprime number because it is at equal distance from previous prime (8120868919) and next prime (8120868937).

It can be written as a sum of positive squares in 4 ways, for example, as 4307559424 + 3813309504 = 65632^2 + 61752^2 .

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, 3534276 + ... + 3536572.

Almost surely, 28120868928 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 8120868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284340556).

8120868928 is an abundant number, since it is smaller than the sum of its proper divisors (8447812184).

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

8120868928 is a wasteful number, since it uses less digits than its factorization.

8120868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The square root of 8120868928 is about 90115.8639086371. The cubic root of 8120868928 is about 2010.0221054803.

The spelling of 8120868928 in words is "eight billion, one hundred twenty million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1493 2297 2368 2986 4594 5972 9188 11944 18376 23888 36752 47776 55241 73504 84989 95552 110482 147008 169978 220964 339956 441928 679912 883856 1359824 1767712 2719648 3429421 3535424 5439296 6858842 13717684 27435368 54870736 109741472 126888577 219482944 253777154 507554308 1015108616 2030217232 4060434464 8120868928