Base | Representation |
---|---|
bin | 111101101011110010… |
… | …0001101001100000000 |
3 | 110122220202102021210000 |
4 | 1323113210031030000 |
5 | 4132242144032040 |
6 | 140504233440000 |
7 | 12366423056064 |
oct | 1732744151400 |
9 | 418822367700 |
10 | 132465611520 |
11 | 511a6425600 |
12 | 2180a570000 |
13 | c650953668 |
14 | 65a8b27aa4 |
15 | 36a454a130 |
hex | 1ed790d300 |
132465611520 has 540 divisors, whose sum is σ = 521042417280. Its totient is φ = 32109834240.
The previous prime is 132465611513. The next prime is 132465611527. The reversal of 132465611520 is 25116564231.
132465611520 is a `hidden beast` number, since 1 + 3 + 2 + 46 + 561 + 1 + 52 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (132465611513) and next prime (132465611527).
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132465611527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12540001 + ... + 12550559.
Almost surely, 2132465611520 is an apocalyptic number.
132465611520 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 132465611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260521208640).
132465611520 is an abundant number, since it is smaller than the sum of its proper divisors (388576805760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132465611520 is a wasteful number, since it uses less digits than its factorization.
132465611520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10614 (or 10580 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The spelling of 132465611520 in words is "one hundred thirty-two billion, four hundred sixty-five million, six hundred eleven thousand, five hundred twenty".
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