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130126551760 = 2456126665277
BaseRepresentation
bin111100100110000100…
…1011001101011010000
3110102212202001202000001
41321030021121223100
54112444344124020
6135440155335344
712254441303632
oct1711411315320
9412782052001
10130126551760
1150206056367
1221277151554
13c36a18392a
14642620ca52
1535b901050a
hex1e4c259ad0

130126551760 has 40 divisors (see below), whose sum is σ = 307503985896. Its totient is φ = 51197329920.

The previous prime is 130126551733. The next prime is 130126551809. The reversal of 130126551760 is 67155621031.

It can be written as a sum of positive squares in 4 ways, for example, as 1956823696 + 128169728064 = 44236^2 + 358008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13327759 + ... + 13337518.

Almost surely, 2130126551760 is an apocalyptic number.

130126551760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130126551760 is an abundant number, since it is smaller than the sum of its proper divisors (177377434136).

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

130126551760 is a wasteful number, since it uses less digits than its factorization.

130126551760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665351 (or 26665345 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 130126551760 in words is "one hundred thirty billion, one hundred twenty-six million, five hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 26665277 53330554 106661108 133326385 213322216 266652770 426644432 533305540 1066611080 1626581897 2133222160 3253163794 6506327588 8132909485 13012655176 16265818970 26025310352 32531637940 65063275880 130126551760