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130132305149184 = 2832132437772263
BaseRepresentation
bin11101100101101011001001…
…110100100111110100000000
3122001202112020002111020121100
4131211223021310213310000
5114024041430104233214
61140433542232254400
736260514556004412
oct3545531164476400
9561675202436540
10130132305149184
1138511889795028
1212718619841400
13577c567bb5800
14241c6198769b2
15100a08e999309
hex765ac9d27d00

130132305149184 has 324 divisors, whose sum is σ = 415734017803104. Its totient is φ = 39109524959232.

The previous prime is 130132305149153. The next prime is 130132305149191. The reversal of 130132305149184 is 481941503231031.

130132305149184 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 2 + 30 + 51 + 491 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12857037 + ... + 20629299.

Almost surely, 2130132305149184 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 130132305149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207867008901552).

130132305149184 is an abundant number, since it is smaller than the sum of its proper divisors (285601712653920).

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

130132305149184 is a wasteful number, since it uses less digits than its factorization.

130132305149184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772354 (or 7772324 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 130132305149184 in words is "one hundred thirty trillion, one hundred thirty-two billion, three hundred five million, one hundred forty-nine thousand, one hundred eighty-four".