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132233687776080 = 243251147509697913
BaseRepresentation
bin11110000100010000001101…
…111111001011101101010000
3122100012102021001122011100200
4132010100031333023231100
5114313004043032313310
61145123152331015200
736565366024425252
oct3604201577135520
9570172231564320
10132233687776080
1139151aa0473a70
12129b793659a500
1358a2777534527
142492204c55cd2
151044a7d2739c0
hex78440dfcbb50

132233687776080 has 480 divisors, whose sum is σ = 495736465835520. Its totient is φ = 31312910622720.

The previous prime is 132233687776061. The next prime is 132233687776087. The reversal of 132233687776080 is 80677786332231.

It is a happy number.

132233687776080 is a `hidden beast` number, since 1 + 3 + 22 + 336 + 87 + 77 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132233687775999 and 132233687776017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233687776087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189121204 + ... + 189819116.

It is an arithmetic number, because the mean of its divisors is an integer number (1032784303824).

Almost surely, 2132233687776080 is an apocalyptic number.

132233687776080 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 132233687776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247868232917760).

132233687776080 is an abundant number, since it is smaller than the sum of its proper divisors (363502778059440).

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

132233687776080 is a wasteful number, since it uses less digits than its factorization.

132233687776080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698499 (or 698490 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 132233687776080 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, six hundred eighty-seven million, seven hundred seventy-six thousand, eighty".