Search a number
-
+
528117207200 = 25521160013319
BaseRepresentation
bin1111010111101100011…
…11010001000010100000
31212111011101200211102222
413223312033101002200
532123041001112300
61042340320330212
753104144123352
oct7536617210240
91774141624388
10528117207200
11193a78439420
1286429473968
133aa5542549b
141b7bd5a30d2
15db0e2ec785
hex7af63d10a0

528117207200 has 72 divisors (see below), whose sum is σ = 1406472167520. Its totient is φ = 192042617600.

The previous prime is 528117207197. The next prime is 528117207203. The reversal of 528117207200 is 2702711825.

It is an interprime number because it is at equal distance from previous prime (528117207197) and next prime (528117207203).

It is not an unprimeable number, because it can be changed into a prime (528117207203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29997860 + ... + 30015459.

It is an arithmetic number, because the mean of its divisors is an integer number (19534335660).

Almost surely, 2528117207200 is an apocalyptic number.

528117207200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528117207200 is an abundant number, since it is smaller than the sum of its proper divisors (878354960320).

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

528117207200 is a wasteful number, since it uses less digits than its factorization.

528117207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60013350 (or 60013337 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 528117207200 in words is "five hundred twenty-eight billion, one hundred seventeen million, two hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 60013319 120026638 240053276 300066595 480106552 600133190 660146509 960213104 1200266380 1320293018 1500332975 1920426208 2400532760 2640586036 3000665950 3300732545 4801065520 5281172072 6001331900 6601465090 9602131040 10562344144 12002663800 13202930180 16503662725 21124688288 24005327600 26405860360 33007325450 48010655200 52811720720 66014650900 105623441440 132029301800 264058603600 528117207200