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132198108480 = 2633516791621
BaseRepresentation
bin111101100011110011…
…1110000110101000000
3110122020010001201121000
41323013213300311000
54131220203432410
6140421520132000
712356664244614
oct1730747606500
9418203051530
10132198108480
1151079427609
1221754a67000
13c60a3c3239
1465813b3344
15368ad09dc0
hex1ec79f0d40

132198108480 has 224 divisors, whose sum is σ = 469163278080. Its totient is φ = 35041351680.

The previous prime is 132198108407. The next prime is 132198108547. The reversal of 132198108480 is 84801891231.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397070 + ... + 1488690.

It is an arithmetic number, because the mean of its divisors is an integer number (2094478920).

Almost surely, 2132198108480 is an apocalyptic number.

132198108480 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 132198108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234581639040).

132198108480 is an abundant number, since it is smaller than the sum of its proper divisors (336965169600).

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

132198108480 is a wasteful number, since it uses less digits than its factorization.

132198108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91814 (or 91798 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 132198108480 in words is "one hundred thirty-two billion, one hundred ninety-eight million, one hundred eight thousand, four hundred eighty".