Search a number
-
+
30525680656 = 2431214092
BaseRepresentation
bin11100011011011110…
…001110110000010000
32220210101110020200001
4130123132032300100
51000004033240111
622005011135344
72130312001342
oct343336166020
986711406601
1030525680656
1111a44a50759
125ababa4554
132b5626c143
1416981a7292
15bd9d661c1
hex71b78ec10

30525680656 has 45 divisors (see below), whose sum is σ = 61156309053. Its totient is φ = 14760007680.

The previous prime is 30525680651. The next prime is 30525680719. The reversal of 30525680656 is 65608652503.

The square root of 30525680656 is 174716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 388720656 + 30136960000 = 19716^2 + 173600^2 .

It is a super-3 number, since 3×305256806563 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30525680651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21664080 + ... + 21665488.

Almost surely, 230525680656 is an apocalyptic number.

30525680656 is the 174716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30525680656

30525680656 is an abundant number, since it is smaller than the sum of its proper divisors (30630628397).

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

30525680656 is an frugal number, since it uses more digits than its factorization.

30525680656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 30525680656 in words is "thirty billion, five hundred twenty-five million, six hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1409 1922 2818 3844 5636 7688 11272 15376 22544 43679 87358 174716 349432 698864 1354049 1985281 2708098 3970562 5416196 7941124 10832392 15882248 21664784 31764496 61543711 123087422 246174844 492349688 984699376 1907855041 3815710082 7631420164 15262840328 30525680656