Search a number
-
+
128520327264 = 2537191250487
BaseRepresentation
bin111011110110001101…
…0001001000001100000
3110021201210200002012220
41313230122021001200
54101202200433024
6135012540351040
712166565520450
oct1675432110140
9407653602186
10128520327264
114a5614130aa
1220aa9245480
13c17247b934
146312b77d60
153522ed1e79
hex1dec689060

128520327264 has 48 divisors (see below), whose sum is σ = 385560983808. Its totient is φ = 36720093312.

The previous prime is 128520327263. The next prime is 128520327281. The reversal of 128520327264 is 462723025821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128520327263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95624572 + ... + 95625915.

It is an arithmetic number, because the mean of its divisors is an integer number (8032520496).

Almost surely, 2128520327264 is an apocalyptic number.

128520327264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128520327264 is an abundant number, since it is smaller than the sum of its proper divisors (257040656544).

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

128520327264 is a wasteful number, since it uses less digits than its factorization.

128520327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191250507 (or 191250499 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 128520327264 in words is "one hundred twenty-eight billion, five hundred twenty million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 191250487 382500974 573751461 765001948 1147502922 1338753409 1530003896 2295005844 2677506818 3060007792 4016260227 4590011688 5355013636 6120015584 8032520454 9180023376 10710027272 16065040908 18360046752 21420054544 32130081816 42840109088 64260163632 128520327264