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470589140025 = 3252192292832
BaseRepresentation
bin1101101100100010100…
…11000110110000111001
31122222200011111020001100
412312101103012300321
530202231304440100
61000104034242013
745666431456034
oct6662123066071
91588604436040
10470589140025
11171637335054
1277253426309
13354b7b4b454
1418ac313601b
15c393ace400
hex6d914c6c39

470589140025 has 243 divisors, whose sum is σ = 932540800269. Its totient is φ = 226806410880.

The previous prime is 470589139991. The next prime is 470589140029. The reversal of 470589140025 is 520041985074.

The square root of 470589140025 is 685995.

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

470589140025 is a `hidden beast` number, since 4 + 7 + 0 + 589 + 1 + 40 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6468502329 + 464120637696 = 80427^2 + 681264^2 .

It is not a de Polignac number, because 470589140025 - 213 = 470589131833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (470589140029) 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 242 ways as a sum of consecutive naturals, for example, 5669748634 + ... + 5669748716.

Almost surely, 2470589140025 is an apocalyptic number.

470589140025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

470589140025 is the 685995-th square number.

470589140025 is the 342998-th centered octagonal number.

It is an amenable number.

470589140025 is a deficient number, since it is larger than the sum of its proper divisors (461951660244).

470589140025 is a wasteful number, since it uses less digits than its factorization.

470589140025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 470589140025 in words is "four hundred seventy billion, five hundred eighty-nine million, one hundred forty thousand, twenty-five".