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130749646001760 = 25325735623221201
BaseRepresentation
bin11101101110101010000110…
…001101000101011001100000
3122010221112200122012212211200
4131232222012031011121200
5114114200233334024020
61142025320321241200
736353231054452062
oct3556520615053140
9563845618185750
10130749646001760
113872a682593845
12127b81a7a93200
1357c583c338b16
142440460ba5732
15101b171dbc590
hex76ea86345660

130749646001760 has 288 divisors, whose sum is σ = 452377746894528. Its totient is φ = 34382676787200.

The previous prime is 130749646001753. The next prime is 130749646001789. The reversal of 130749646001760 is 67100646947031.

130749646001760 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 4 + 9 + 6 + 460 + 0 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 130749646001697 and 130749646001706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590979160 + ... + 591200360.

It is an arithmetic number, because the mean of its divisors is an integer number (1570756065606).

Almost surely, 2130749646001760 is an apocalyptic number.

130749646001760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130749646001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226188873447264).

130749646001760 is an abundant number, since it is smaller than the sum of its proper divisors (321628100892768).

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

130749646001760 is a wasteful number, since it uses less digits than its factorization.

130749646001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226918 (or 226907 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 130749646001760 in words is "one hundred thirty trillion, seven hundred forty-nine billion, six hundred forty-six million, one thousand, seven hundred sixty".