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405431206025 = 5259812711461
BaseRepresentation
bin1011110011001011001…
…01010100000010001001
31102202111012100020000112
411321211211110002021
523120310342043100
6510130313444105
741201651250626
oct5714545240211
91382435306015
10405431206025
11146a4038991a
12666aa110635
132c302916411
14158a162d34d
15a82d629b35
hex5e65954089

405431206025 has 12 divisors (see below), whose sum is σ = 502818936204. Its totient is φ = 324290616000.

The previous prime is 405431205983. The next prime is 405431206049. The reversal of 405431206025 is 520602134504.

It can be written as a sum of positive squares in 6 ways, for example, as 145420958281 + 260010247744 = 381341^2 + 509912^2 .

It is not a de Polignac number, because 405431206025 - 218 = 405430943881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405431205982 and 405431206000.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1206206 + ... + 1505255.

It is an arithmetic number, because the mean of its divisors is an integer number (41901578017).

Almost surely, 2405431206025 is an apocalyptic number.

It is an amenable number.

405431206025 is a deficient number, since it is larger than the sum of its proper divisors (97387730179).

405431206025 is a wasteful number, since it uses less digits than its factorization.

405431206025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717452 (or 2717447 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 405431206025 in words is "four hundred five billion, four hundred thirty-one million, two hundred six thousand, twenty-five".

Divisors: 1 5 25 5981 29905 149525 2711461 13557305 67786525 16217248241 81086241205 405431206025