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130166530599168 = 283574153151911
BaseRepresentation
bin11101100110001011000001…
…110100010110100100000000
3122001212210120022201020200000
4131212023001310112210000
5114030122023313133133
61140501402330400000
736263135654352420
oct3546130164264400
9561783508636600
10130166530599168
11385253520a8188
121272318b890000
1357828607c756b
142420145160480
15100ade452d413
hex7662c1d16900

130166530599168 has 1728 divisors, whose sum is σ = 467836117991424. Its totient is φ = 35324190720000.

The previous prime is 130166530599151. The next prime is 130166530599169. The reversal of 130166530599168 is 861995035661031.

130166530599168 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 6 + 5 + 30 + 599 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (130166530599169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142883128633 + ... + 142883129543.

It is an arithmetic number, because the mean of its divisors is an integer number (270738494208).

Almost surely, 2130166530599168 is an apocalyptic number.

130166530599168 is a gapful number since it is divisible by the number (18) 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 130166530599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233918058995712).

130166530599168 is an abundant number, since it is smaller than the sum of its proper divisors (337669587392256).

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

130166530599168 is an equidigital number, since it uses as much as digits as its factorization.

130166530599168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 130166530599168 in words is "one hundred thirty trillion, one hundred sixty-six billion, five hundred thirty million, five hundred ninety-nine thousand, one hundred sixty-eight".