Search a number
-
+
128495007720 = 2335527148781
BaseRepresentation
bin111011110101011100…
…1100011011111101000
3110021200001000201100000
41313222321203133220
54101124210221340
6135010233543000
712166140354522
oct1675271433750
9407601021300
10128495007720
114a54909a162
1220aa0874a60
13c16a155161
14630d666a12
153520b7ed30
hex1deae637e8

128495007720 has 192 divisors, whose sum is σ = 434682743040. Its totient is φ = 34138195200.

The previous prime is 128495007689. The next prime is 128495007721. The reversal of 128495007720 is 27700594821.

It is a happy number.

128495007720 is a `hidden beast` number, since 12 + 8 + 49 + 500 + 77 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128495007721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2609730 + ... + 2658510.

It is an arithmetic number, because the mean of its divisors is an integer number (2263972620).

Almost surely, 2128495007720 is an apocalyptic number.

128495007720 is a gapful number since it is divisible by the number (10) 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 128495007720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217341371520).

128495007720 is an abundant number, since it is smaller than the sum of its proper divisors (306187735320).

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

128495007720 is a wasteful number, since it uses less digits than its factorization.

128495007720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49078 (or 49062 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 128495007720 in words is "one hundred twenty-eight billion, four hundred ninety-five million, seven thousand, seven hundred twenty".