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132069494304 = 25341121937599
BaseRepresentation
bin111101011111111110…
…1001000111000100000
3110121220011001110010000
41322333331020320200
54130434242304204
6140401043340000
712353543115306
oct1727775107040
9417804043100
10132069494304
1151012871900
1221719981600
13c5b9871487
14656c294276
15367e8a2039
hex1ebff48e20

132069494304 has 720 divisors, whose sum is σ = 462319704000. Its totient is φ = 36828380160.

The previous prime is 132069494287. The next prime is 132069494309. The reversal of 132069494304 is 403494960231.

132069494304 is a `hidden beast` number, since 1 + 3 + 206 + 9 + 4 + 9 + 430 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132069494304.

It is not an unprimeable number, because it can be changed into a prime (132069494309) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220482997 + ... + 220483595.

It is an arithmetic number, because the mean of its divisors is an integer number (642110700).

Almost surely, 2132069494304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132069494304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231159852000).

132069494304 is an abundant number, since it is smaller than the sum of its proper divisors (330250209696).

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

132069494304 is a wasteful number, since it uses less digits than its factorization.

132069494304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 132069494304 in words is "one hundred thirty-two billion, sixty-nine million, four hundred ninety-four thousand, three hundred four".