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84486142225 = 526129532
BaseRepresentation
bin100111010101111000…
…1000011100100010001
322002001222120201012201
41032223301003210101
52341011423022400
6102451251123201
76050434234312
oct1165361034421
9262058521181
1084486142225
1132915252141
121445a2a3501
137c75698b44
1441368b8609
1522e727106a
hex13abc43911

84486142225 has 27 divisors (see below), whose sum is σ = 106620272499. Its totient is φ = 66411139200.

The previous prime is 84486142219. The next prime is 84486142231. The reversal of 84486142225 is 52224168448.

The square root of 84486142225 is 290665.

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

It is an interprime number because it is at equal distance from previous prime (84486142219) and next prime (84486142231).

It can be written as a sum of positive squares in 13 ways, for example, as 84318802129 + 167340096 = 290377^2 + 12936^2 .

It is not a de Polignac number, because 84486142225 - 29 = 84486141713 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 88652349 + ... + 88653301.

Almost surely, 284486142225 is an apocalyptic number.

84486142225 is the 290665-th square number.

84486142225 is the 145333-rd centered octagonal number.

It is an amenable number.

84486142225 is a deficient number, since it is larger than the sum of its proper divisors (22134130274).

84486142225 is an frugal number, since it uses more digits than its factorization.

84486142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its digits is 983040, while the sum is 46.

The spelling of 84486142225 in words is "eighty-four billion, four hundred eighty-six million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 953 1525 3721 4765 18605 23825 58133 93025 290665 908209 1453325 3546113 4541045 17730565 22705225 55400749 88652825 277003745 1385018725 3379445689 16897228445 84486142225