Base | Representation |
---|---|
bin | 111101101000011010… |
… | …0110100110110100000 |
3 | 110122121212122001001012 |
4 | 1323100310310312200 |
5 | 4132024221342101 |
6 | 140445114000052 |
7 | 12363550631630 |
oct | 1732064646640 |
9 | 418555561035 |
10 | 132352527776 |
11 | 51148608067 |
12 | 21798716028 |
13 | c6333ab7c1 |
14 | 6597acc6c0 |
15 | 369965dbbb |
hex | 1ed0d34da0 |
132352527776 has 96 divisors (see below), whose sum is σ = 300429803520. Its totient is φ = 56221191936.
The previous prime is 132352527737. The next prime is 132352527803. The reversal of 132352527776 is 677725253231.
It is a super-3 number, since 3×1323525277763 (a number of 34 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45031715 + ... + 45034653.
It is an arithmetic number, because the mean of its divisors is an integer number (3129477120).
Almost surely, 2132352527776 is an apocalyptic number.
132352527776 is a gapful number since it is divisible by the number (16) 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 132352527776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150214901760).
132352527776 is an abundant number, since it is smaller than the sum of its proper divisors (168077275744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132352527776 is a wasteful number, since it uses less digits than its factorization.
132352527776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4666 (or 4658 counting only the distinct ones).
The product of its digits is 3704400, while the sum is 50.
The spelling of 132352527776 in words is "one hundred thirty-two billion, three hundred fifty-two million, five hundred twenty-seven thousand, seven hundred seventy-six".
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