Search a number
-
+
132219880448 = 210463278879
BaseRepresentation
bin111101100100011101…
…0110100010000000000
3110122021122000212010012
41323020322310100000
54131241242133243
6140424014524052
712360350304005
oct1731072642000
9418248025105
10132219880448
115108a748177
1221760206628
13c611a77066
14658423d8ac
15368cbaad18
hex1ec8eb4400

132219880448 has 44 divisors (see below), whose sum is σ = 264882455040. Its totient is φ = 65966917632.

The previous prime is 132219880433. The next prime is 132219880477. The reversal of 132219880448 is 844088912231.

132219880448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132219880396 and 132219880405.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334673 + ... + 613551.

Almost surely, 2132219880448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132219880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132441227520).

132219880448 is an abundant number, since it is smaller than the sum of its proper divisors (132662574592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132219880448 is an equidigital number, since it uses as much as digits as its factorization.

132219880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279362 (or 279344 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 132219880448 in words is "one hundred thirty-two billion, two hundred nineteen million, eight hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 463 512 926 1024 1852 3704 7408 14816 29632 59264 118528 237056 278879 474112 557758 1115516 2231032 4462064 8924128 17848256 35696512 71393024 129120977 142786048 258241954 285572096 516483908 1032967816 2065935632 4131871264 8263742528 16527485056 33054970112 66109940224 132219880448