Search a number
-
+
120052520080 = 2458916861309
BaseRepresentation
bin110111111001110110…
…0000001010010010000
3102110212122222220111121
41233303230001102100
53431331421120310
6131052410052024
711450004404113
oct1576354012220
9373778886447
10120052520080
1146a06577249
121b32541a014
13b42304583c
145b4c2d857a
1531c98cc0da
hex1bf3b01490

120052520080 has 40 divisors (see below), whose sum is σ = 282258329400. Its totient is φ = 47481443328.

The previous prime is 120052520069. The next prime is 120052520089. The reversal of 120052520080 is 80025250021.

It can be written as a sum of positive squares in 4 ways, for example, as 6265039104 + 113787480976 = 79152^2 + 337324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (120052520089) 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 7 ways as a sum of consecutive naturals, for example, 8423535 + ... + 8437774.

It is an arithmetic number, because the mean of its divisors is an integer number (7056458235).

Almost surely, 2120052520080 is an apocalyptic number.

120052520080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120052520080 is an abundant number, since it is smaller than the sum of its proper divisors (162205809320).

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

120052520080 is a wasteful number, since it uses less digits than its factorization.

120052520080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861411 (or 16861405 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 120052520080 in words is "one hundred twenty billion, fifty-two million, five hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 16861309 33722618 67445236 84306545 134890472 168613090 269780944 337226180 674452360 1348904720 1500656501 3001313002 6002626004 7503282505 12005252008 15006565010 24010504016 30013130020 60026260040 120052520080