Search a number
-
+
128925941760 = 214335711757
BaseRepresentation
bin111100000010010010…
…1011100000000000000
3110022210001220102201000
41320010211130000000
54103020020114020
6135121110212000
712212622265140
oct1700445340000
9408701812630
10128925941760
114a74a3732a0
1220ba1054000
13c208507905
1463509a0920
153548904090
hex1e0495c000

128925941760 has 960 divisors, whose sum is σ = 572253373440. Its totient is φ = 26754416640.

The previous prime is 128925941737. The next prime is 128925941789. The reversal of 128925941760 is 67149529821.

It is a happy number.

128925941760 is a `hidden beast` number, since 1 + 289 + 259 + 41 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 128925941697 and 128925941706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170311302 + ... + 170312058.

It is an arithmetic number, because the mean of its divisors is an integer number (596097264).

Almost surely, 2128925941760 is an apocalyptic number.

128925941760 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 128925941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286126686720).

128925941760 is an abundant number, since it is smaller than the sum of its proper divisors (443327431680).

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

128925941760 is an equidigital number, since it uses as much as digits as its factorization.

128925941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 128925941760 in words is "one hundred twenty-eight billion, nine hundred twenty-five million, nine hundred forty-one thousand, seven hundred sixty".