Base | Representation |
---|---|
bin | 111101101011111110… |
… | …1010110000111010000 |
3 | 110122221012211002210000 |
4 | 1323113331112013100 |
5 | 4132300340423210 |
6 | 140505031010000 |
7 | 12366533064300 |
oct | 1732775260720 |
9 | 418835732700 |
10 | 132472201680 |
11 | 511aa116915 |
12 | 21810809900 |
13 | c652120170 |
14 | 65a9961600 |
15 | 36a4decac0 |
hex | 1ed7f561d0 |
132472201680 has 1200 divisors, whose sum is σ = 586207480320. Its totient is φ = 27475531776.
The previous prime is 132472201663. The next prime is 132472201691. The reversal of 132472201680 is 86102274231.
It is a happy number.
132472201680 is a `hidden beast` number, since 1 + 3 + 2 + 472 + 20 + 168 + 0 = 666.
132472201680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 276559681 + ... + 276560159.
Almost surely, 2132472201680 is an apocalyptic number.
132472201680 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 132472201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293103740160).
132472201680 is an abundant number, since it is smaller than the sum of its proper divisors (453735278640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132472201680 is a wasteful number, since it uses less digits than its factorization.
132472201680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 598 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 132472201680 in words is "one hundred thirty-two billion, four hundred seventy-two million, two hundred one thousand, six hundred eighty".
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