Search a number
-
+
3504570441225 = 3527172423162059
BaseRepresentation
bin110010111111111000101…
…011010001111000001001
3110102000220112120110101120
4302333320223101320021
5424404330013104400
611241551043105453
7511124344146120
oct62777053217011
913360815513346
103504570441225
111131309717327
12487261672289
131c5630818a69
14c189d120ab7
156126672bca0
hex32ff8ad1e09

3504570441225 has 96 divisors (see below), whose sum is σ = 7014433904640. Its totient is φ = 1507217187840.

The previous prime is 3504570441179. The next prime is 3504570441227. The reversal of 3504570441225 is 5221440754053.

It is a happy number.

It is not a de Polignac number, because 3504570441225 - 210 = 3504570440201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3504570441227) 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 95 ways as a sum of consecutive naturals, for example, 21544246 + ... + 21706304.

It is an arithmetic number, because the mean of its divisors is an integer number (73067019840).

Almost surely, 23504570441225 is an apocalyptic number.

3504570441225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3504570441225 is an abundant number, since it is smaller than the sum of its proper divisors (3509863463415).

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

3504570441225 is a wasteful number, since it uses less digits than its factorization.

3504570441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164519 (or 164514 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 3504570441225 in words is "three trillion, five hundred four billion, five hundred seventy million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2423 2975 7269 8925 12115 16961 36345 41191 50883 60575 84805 123573 162059 181725 205955 254415 288337 424025 486177 617865 810295 865011 1029775 1134413 1272075 1441685 2430885 2755003 3089325 3403239 4051475 4325055 5672065 7208425 8265009 12154425 13775015 17016195 19285021 21625275 28360325 41325045 57855063 68875075 85080975 96425105 206625225 289275315 392668957 482125525 1178006871 1446376575 1963344785 2748682699 5890034355 6675372269 8246048097 9816723925 13743413495 20026116807 29450171775 33376861345 41230240485 46727605883 68717067475 100130584035 140182817649 166884306725 206151202425 233638029415 500652920175 700914088245 1168190147075 3504570441225