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132076456470 = 233572112271459
BaseRepresentation
bin111101100000001011…
…1101100101000010110
3110121220122011011102000
41323000113230220112
54130443033101340
6140401452500130
712353656233210
oct1730027545026
9417818134360
10132076456470
1151016797662
122172017a646
13c5bb13b3ba
14656d1875b0
1536802c9d30
hex1ec05eca16

132076456470 has 256 divisors, whose sum is σ = 406486425600. Its totient is φ = 29892965760.

The previous prime is 132076456469. The next prime is 132076456529. The reversal of 132076456470 is 74654670231.

132076456470 is a `hidden beast` number, since 1 + 3 + 20 + 7 + 64 + 564 + 7 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90524601 + ... + 90526059.

It is an arithmetic number, because the mean of its divisors is an integer number (1587837600).

Almost surely, 2132076456470 is an apocalyptic number.

132076456470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132076456470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203243212800).

132076456470 is an abundant number, since it is smaller than the sum of its proper divisors (274409969130).

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

132076456470 is a wasteful number, since it uses less digits than its factorization.

132076456470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 132076456470 in words is "one hundred thirty-two billion, seventy-six million, four hundred fifty-six thousand, four hundred seventy".