Base | Representation |
---|---|
bin | 111101100000000000… |
… | …0011111001110100000 |
3 | 110121220012201001102202 |
4 | 1323000000133032200 |
5 | 4130440003403011 |
6 | 140401114232332 |
7 | 12353553433034 |
oct | 1730000371640 |
9 | 417805631382 |
10 | 132070372256 |
11 | 51013311489 |
12 | 2171a1256a8 |
13 | c5b9abac84 |
14 | 656c4421c4 |
15 | 367e9c723b |
hex | 1ec001f3a0 |
132070372256 has 96 divisors (see below), whose sum is σ = 278376134400. Its totient is φ = 61497446400.
The previous prime is 132070372253. The next prime is 132070372279. The reversal of 132070372256 is 652273070231.
It is a happy number.
132070372256 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 (38).
It is not an unprimeable number, because it can be changed into a prime (132070372253) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11185556 + ... + 11197356.
It is an arithmetic number, because the mean of its divisors is an integer number (2899751400).
Almost surely, 2132070372256 is an apocalyptic number.
132070372256 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 132070372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139188067200).
132070372256 is an abundant number, since it is smaller than the sum of its proper divisors (146305762144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132070372256 is a wasteful number, since it uses less digits than its factorization.
132070372256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12142 (or 12134 counting only the distinct ones).
The product of its (nonzero) digits is 105840, while the sum is 38.
The spelling of 132070372256 in words is "one hundred thirty-two billion, seventy million, three hundred seventy-two thousand, two hundred fifty-six".
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