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132064386240 = 2635137567069
BaseRepresentation
bin111101011111110100…
…1101001110011000000
3110121212210102221011110
41322333221221303000
54130431440324430
6140400342043320
712353451522063
oct1727751516300
9417783387143
10132064386240
115100a9a3066
1221718119540
13c5b87a3457
14656b7248da
15367e1e37b0
hex1ebfa69cc0

132064386240 has 56 divisors (see below), whose sum is σ = 419304429360. Its totient is φ = 35217169408.

The previous prime is 132064386227. The next prime is 132064386241. The reversal of 132064386240 is 42683460231.

It is a super-2 number, since 2×1320643862402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132064386241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68782575 + ... + 68784494.

Almost surely, 2132064386240 is an apocalyptic number.

132064386240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132064386240 is an abundant number, since it is smaller than the sum of its proper divisors (287240043120).

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

132064386240 is a wasteful number, since it uses less digits than its factorization.

132064386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137567089 (or 137567079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 132064386240 in words is "one hundred thirty-two billion, sixty-four million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 137567069 275134138 412701207 550268276 687835345 825402414 1100536552 1375670690 1650804828 2063506035 2201073104 2751341380 3301609656 4127012070 4402146208 5502682760 6603219312 8254024140 8804292416 11005365520 13206438624 16508048280 22010731040 26412877248 33016096560 44021462080 66032193120 132064386240