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1055842007120 = 24517776354417
BaseRepresentation
bin11110101110101010001…
…01100111100001010000
310201221022110000022021222
433113111011213201100
5114244331023211440
62125014102304212
7136165514660345
oct17272505474120
93657273008258
101055842007120
113778643183aa
12150767428068
13787474672c4
14391629ba7cc
151c6e8e362b5
hexf5d5167850

1055842007120 has 40 divisors (see below), whose sum is σ = 2599234591464. Its totient is φ = 397493460992.

The previous prime is 1055842007089. The next prime is 1055842007141. The reversal of 1055842007120 is 217002485501.

1055842007120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9738531856 + 1046103475264 = 98684^2 + 1022792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10558420071202 (a number of 25 digits) contains 22 as substring.

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, 388175849 + ... + 388178568.

Almost surely, 21055842007120 is an apocalyptic number.

1055842007120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055842007120 is an abundant number, since it is smaller than the sum of its proper divisors (1543392584344).

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

1055842007120 is a wasteful number, since it uses less digits than its factorization.

1055842007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776354447 (or 776354441 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 1055842007120 in words is "one trillion, fifty-five billion, eight hundred forty-two million, seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 776354417 1552708834 3105417668 3881772085 6210835336 7763544170 12421670672 13198025089 15527088340 26396050178 31054176680 52792100356 62108353360 65990125445 105584200712 131980250890 211168401424 263960501780 527921003560 1055842007120