Base | Representation |
---|---|
bin | 11110000101111101111110… |
… | …001111111100100001010110 |
3 | 122100121200110001121110111000 |
4 | 132011331332033330201112 |
5 | 114321421421021214020 |
6 | 1145253242253124130 |
7 | 36610040266232601 |
oct | 3605757617744126 |
9 | 570550401543430 |
10 | 132351535335510 |
11 | 39197a75332687 |
12 | 12a16745489646 |
13 | 58b09087cc80a |
14 | 2497bc4381338 |
15 | 1047b792a4090 |
hex | 785f7e3fc856 |
132351535335510 has 128 divisors (see below), whose sum is σ = 355323896248320. Its totient is φ = 35055160560000.
The previous prime is 132351535335463. The next prime is 132351535335511. The reversal of 132351535335510 is 15533535153231.
132351535335510 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 1 + 53 + 53 + 35 + 510 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132351535335511) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299479464 + ... + 299921076.
It is an arithmetic number, because the mean of its divisors is an integer number (2775967939440).
Almost surely, 2132351535335510 is an apocalyptic number.
132351535335510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 132351535335510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177661948124160).
132351535335510 is an abundant number, since it is smaller than the sum of its proper divisors (222972360912810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132351535335510 is a wasteful number, since it uses less digits than its factorization.
132351535335510 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449131 (or 449125 counting only the distinct ones).
The product of its (nonzero) digits is 1518750, while the sum is 45.
The spelling of 132351535335510 in words is "one hundred thirty-two trillion, three hundred fifty-one billion, five hundred thirty-five million, three hundred thirty-five thousand, five hundred ten".
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