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9500480821225 = 52372166612
BaseRepresentation
bin1000101001000000000011…
…0010001101011111101001
31020122020101211202210022101
42022100000302031133221
52221123441042234400
632112243255253401
72000246525363032
oct212200062153751
936566354683271
109500480821225
113033149823739
12109530b97a261
1353bb78809164
1424bb7bb0ba89
151171e163a56a
hex8a400c8d7e9

9500480821225 has 27 divisors (see below), whose sum is σ = 12108322713711. Its totient is φ = 7394525006400.

The previous prime is 9500480821199. The next prime is 9500480821229. The reversal of 9500480821225 is 5221280840059.

The square root of 9500480821225 is 3082285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2044107856729 + 7456372964496 = 1429723^2 + 2730636^2 .

It is not a de Polignac number, because 9500480821225 - 25 = 9500480821193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9500480821229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 570214395 + ... + 570231055.

Almost surely, 29500480821225 is an apocalyptic number.

9500480821225 is the 3082285-th square number.

9500480821225 is the 1541143-rd centered octagonal number.

It is an amenable number.

9500480821225 is a deficient number, since it is larger than the sum of its proper divisors (2607841892486).

9500480821225 is an frugal number, since it uses more digits than its factorization.

9500480821225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33406 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 9500480821225 in words is "nine trillion, five hundred billion, four hundred eighty million, eight hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 1369 6845 16661 34225 83305 416525 616457 3082285 15411425 22808909 114044545 277588921 570222725 1387944605 6939723025 10270790077 51353950385 256769751925 380019232849 1900096164245 9500480821225