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132313490568 = 233271794116411
BaseRepresentation
bin111101100111001111…
…1111010010010001000
3110122112011011202001200
41323032133322102020
54131434223144233
6140441201144200
712362565053550
oct1731637722210
9418464152050
10132313490568
1151128574906
122178762b060
13c62829126c
14659284a160
153695eec313
hex1ece7fa488

132313490568 has 192 divisors, whose sum is σ = 434119720320. Its totient is φ = 35540121600.

The previous prime is 132313490563. The next prime is 132313490581. The reversal of 132313490568 is 865094313231.

132313490568 is a `hidden beast` number, since 1 + 32 + 3 + 13 + 49 + 0 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (132313490563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8054283 + ... + 8070693.

It is an arithmetic number, because the mean of its divisors is an integer number (2261040210).

Almost surely, 2132313490568 is an apocalyptic number.

132313490568 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 132313490568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217059860160).

132313490568 is an abundant number, since it is smaller than the sum of its proper divisors (301806229752).

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

132313490568 is a wasteful number, since it uses less digits than its factorization.

132313490568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17381 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 132313490568 in words is "one hundred thirty-two billion, three hundred thirteen million, four hundred ninety thousand, five hundred sixty-eight".