Base | Representation |
---|---|
bin | 111101101001001000… |
… | …0100111100000000000 |
3 | 110122200112220112200010 |
4 | 1323102100213200000 |
5 | 4132101401342321 |
6 | 140451333424520 |
7 | 12364262311104 |
oct | 1732220474000 |
9 | 418615815603 |
10 | 132376590336 |
11 | 51160152681 |
12 | 217a479b140 |
13 | c6383850c3 |
14 | 659ad93904 |
15 | 369b813676 |
hex | 1ed2427800 |
132376590336 has 96 divisors (see below), whose sum is σ = 353105298000. Its totient is φ = 44102123520.
The previous prime is 132376590289. The next prime is 132376590337. The reversal of 132376590336 is 633095673231.
132376590336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132376590337) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14624340 + ... + 14633388.
Almost surely, 2132376590336 is an apocalyptic number.
132376590336 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 132376590336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176552649000).
132376590336 is an abundant number, since it is smaller than the sum of its proper divisors (220728707664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132376590336 is an equidigital number, since it uses as much as digits as its factorization.
132376590336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11455 (or 11435 counting only the distinct ones).
The product of its (nonzero) digits is 1837080, while the sum is 48.
The spelling of 132376590336 in words is "one hundred thirty-two billion, three hundred seventy-six million, five hundred ninety thousand, three hundred thirty-six".
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