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1055010016 = 2571736361
BaseRepresentation
bin111110111000100…
…010110011100000
32201112012001200001
4332320202303200
54130040310031
6252404305344
735100302644
oct7670426340
92645161601
101055010016
114a1586705
122553a2254
1313a75aaa8
14a018ac24
156294a861
hex3ee22ce0

1055010016 has 48 divisors (see below), whose sum is σ = 2135494368. Its totient is φ = 512870400.

The previous prime is 1055010001. The next prime is 1055010029. The reversal of 1055010016 is 6100105501.

1055010016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10550100162 = 2226092267720640512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055009975 and 1055010002.

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, 162676 + ... + 169036.

It is an arithmetic number, because the mean of its divisors is an integer number (44489466).

Almost surely, 21055010016 is an apocalyptic number.

1055010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1055010016 is an abundant number, since it is smaller than the sum of its proper divisors (1080484352).

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

1055010016 is an equidigital number, since it uses as much as digits as its factorization.

1055010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 1055010016 is about 32480.9177210251. The cubic root of 1055010016 is about 1018.0103518696.

Adding to 1055010016 its reverse (6100105501), we get a palindrome (7155115517).

The spelling of 1055010016 in words is "one billion, fifty-five million, ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 71 73 142 146 284 292 568 584 1136 1168 2272 2336 5183 6361 10366 12722 20732 25444 41464 50888 82928 101776 165856 203552 451631 464353 903262 928706 1806524 1857412 3613048 3714824 7226096 7429648 14452192 14859296 32969063 65938126 131876252 263752504 527505008 1055010016