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132723554304 = 2113116612971
BaseRepresentation
bin111101110011011110…
…0001011100000000000
3110200120201210010202110
41323212330023200000
54133304212214204
6140550010215320
712406004411625
oct1734674134000
9420521703673
10132723554304
1151318a93860
1221880a24540
13c692217423
1465d10b034c
1536bbeec889
hex1ee6f0b800

132723554304 has 192 divisors, whose sum is σ = 386724723840. Its totient is φ = 40144896000.

The previous prime is 132723554303. The next prime is 132723554309. The reversal of 132723554304 is 403455327231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132723554303) 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 15 ways as a sum of consecutive naturals, for example, 44671539 + ... + 44674509.

It is an arithmetic number, because the mean of its divisors is an integer number (2014191270).

Almost surely, 2132723554304 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 132723554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362361920).

132723554304 is an abundant number, since it is smaller than the sum of its proper divisors (254001169536).

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

132723554304 is a wasteful number, since it uses less digits than its factorization.

132723554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 132723554304 in words is "one hundred thirty-two billion, seven hundred twenty-three million, five hundred fifty-four thousand, three hundred four".