Search a number
-
+
128552734607280 = 24352326923019313
BaseRepresentation
bin11101001110101100000100…
…000101001100011110110000
3121212011112002002211202122020
4131032230010011030132300
5113322202000024413110
61133224151101511440
736035425413636564
oct3516540405143660
9555145062752566
10128552734607280
1137a629aa360905
121250246a872580
135696617621119
1423a5db25036a4
15ecde41bb2d70
hex74eb0414c7b0

128552734607280 has 80 divisors (see below), whose sum is σ = 398530620964320. Its totient is φ = 34279254503424.

The previous prime is 128552734607279. The next prime is 128552734607291. The reversal of 128552734607280 is 82706437255821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5925097 + ... + 17094216.

It is an arithmetic number, because the mean of its divisors is an integer number (4981632762054).

Almost surely, 2128552734607280 is an apocalyptic number.

128552734607280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128552734607280 is an abundant number, since it is smaller than the sum of its proper divisors (269977886357040).

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

128552734607280 is a wasteful number, since it uses less digits than its factorization.

128552734607280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042598 (or 23042592 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 128552734607280 in words is "one hundred twenty-eight trillion, five hundred fifty-two billion, seven hundred thirty-four million, six hundred seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 23269 46538 69807 93076 116345 139614 186152 232690 279228 349035 372304 465380 558456 698070 930760 1116912 1396140 1861520 2792280 5584560 23019313 46038626 69057939 92077252 115096565 138115878 184154504 230193130 276231756 345289695 368309008 460386260 552463512 690579390 920772520 1104927024 1381158780 1841545040 2762317560 5524635120 535636394197 1071272788394 1606909182591 2142545576788 2678181970985 3213818365182 4285091153576 5356363941970 6427636730364 8034545912955 8570182307152 10712727883940 12855273460728 16069091825910 21425455767880 25710546921456 32138183651820 42850911535760 64276367303640 128552734607280