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132198893424 = 24351319137659
BaseRepresentation
bin111101100011110101…
…0110000011101110000
3110122020011112121100000
41323013222300131300
54131220404042144
6140421545030000
712360004024233
oct1730752603560
9418204477300
10132198893424
1151079913324
1221755185300
13c60a6095c0
14658153941a
15368ae12769
hex1ec7ab0770

132198893424 has 240 divisors, whose sum is σ = 434939523200. Its totient is φ = 38535429888.

The previous prime is 132198893413. The next prime is 132198893447. The reversal of 132198893424 is 424398891231.

132198893424 is a `hidden beast` number, since 1 + 3 + 219 + 8 + 89 + 342 + 4 = 666.

It is a super-2 number, since 2×1321988934242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891507 + ... + 1029165.

Almost surely, 2132198893424 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 132198893424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217469761600).

132198893424 is an abundant number, since it is smaller than the sum of its proper divisors (302740629776).

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

132198893424 is a wasteful number, since it uses less digits than its factorization.

132198893424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137714 (or 137696 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 132198893424 in words is "one hundred thirty-two billion, one hundred ninety-eight million, eight hundred ninety-three thousand, four hundred twenty-four".