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132350595840 = 2833513927551
BaseRepresentation
bin111101101000010110…
…1011101001100000000
3110122121201222212221000
41323100231131030000
54132023223031330
6140445004332000
712363525334311
oct1732055351400
9418551885830
10132350595840
1151147508621
1221797b44000
13c632b83348
146597748608
1536993cb560
hex1ed0b5d300

132350595840 has 288 divisors, whose sum is σ = 473056819200. Its totient is φ = 35038310400.

The previous prime is 132350595803. The next prime is 132350595869. The reversal of 132350595840 is 48595053231.

132350595840 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 50 + 595 + 8 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4790065 + ... + 4817615.

It is an arithmetic number, because the mean of its divisors is an integer number (1642558400).

Almost surely, 2132350595840 is an apocalyptic number.

132350595840 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 132350595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236528409600).

132350595840 is an abundant number, since it is smaller than the sum of its proper divisors (340706223360).

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

132350595840 is a wasteful number, since it uses less digits than its factorization.

132350595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27720 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 132350595840 in words is "one hundred thirty-two billion, three hundred fifty million, five hundred ninety-five thousand, eight hundred forty".