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130298194433088 = 263211731516532857
BaseRepresentation
bin11101101000000101101001…
…100110000001010001000000
3122002100101102012110000100100
4131220011221212001101000
5114034301200233324323
61141042055243322400
736305506503442503
oct3550055146012100
9562311365400310
10130298194433088
1138576176988370
12127447b5820400
1357920b42c4bb6
1424266755b913a
15100e54d49e943
hex768169981440

130298194433088 has 672 divisors, whose sum is σ = 416527423333632. Its totient is φ = 38612754432000.

The previous prime is 130298194433083. The next prime is 130298194433107. The reversal of 130298194433088 is 880334491892031.

130298194433088 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 8 + 194 + 433 + 0 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130298194433083) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45606646956 + ... + 45606649812.

Almost surely, 2130298194433088 is an apocalyptic number.

130298194433088 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 130298194433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208263711666816).

130298194433088 is an abundant number, since it is smaller than the sum of its proper divisors (286229228900544).

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

130298194433088 is a wasteful number, since it uses less digits than its factorization.

130298194433088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 130298194433088 in words is "one hundred thirty trillion, two hundred ninety-eight billion, one hundred ninety-four million, four hundred thirty-three thousand, eighty-eight".