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8231342625 = 3253112173557
BaseRepresentation
bin1111010101010000…
…00101001000100001
3210020122201112022200
413222220011020201
5113324210431000
63440442123413
7410660154312
oct75250051041
923218645280
108231342625
113544418600
1217187b0569
13a1245254c
145812c8609
15332996500
hex1eaa05221

8231342625 has 144 divisors (see below), whose sum is σ = 17274203856. Its totient is φ = 3755136000.

The previous prime is 8231342617. The next prime is 8231342633. The reversal of 8231342625 is 5262431328.

8231342625 is a `hidden beast` number, since 8 + 23 + 1 + 3 + 4 + 2 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (8231342617) and next prime (8231342633).

It can be written as a sum of positive squares in 8 ways, for example, as 3188070369 + 5043272256 = 56463^2 + 71016^2 .

It is not a de Polignac number, because 8231342625 - 23 = 8231342617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8231342625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2312347 + ... + 2315903.

It is an arithmetic number, because the mean of its divisors is an integer number (119959749).

Almost surely, 28231342625 is an apocalyptic number.

8231342625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8231342625 is an abundant number, since it is smaller than the sum of its proper divisors (9042861231).

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

8231342625 is a wasteful number, since it uses less digits than its factorization.

8231342625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3593 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 8231342625 is about 90726.7470209309. The cubic root of 8231342625 is about 2019.0956499015.

The spelling of 8231342625 in words is "eight billion, two hundred thirty-one million, three hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 125 153 165 187 225 255 275 363 375 425 495 561 605 765 825 935 1089 1125 1275 1375 1683 1815 2057 2125 2475 2805 3025 3557 3825 4125 4675 5445 6171 6375 8415 9075 10285 10671 12375 14025 15125 17785 18513 19125 23375 27225 30855 32013 39127 42075 45375 51425 53355 60469 70125 88925 92565 117381 136125 154275 160065 181407 195635 210375 257125 266775 302345 352143 430397 444625 462825 544221 586905 665159 771375 800325 907035 978175 1291191 1333875 1511725 1760715 1995477 2151985 2314125 2721105 2934525 3325795 3873573 4001625 4535175 4890875 5986431 6455955 7316749 7558625 8803575 9977385 10759925 13605525 14672625 16628975 19367865 21950247 22675875 29932155 32279775 36583745 44017875 49886925 53799625 65850741 68027625 83144875 96839325 109751235 149660775 161398875 182918725 249434625 329253705 484196625 548756175 748303875 914593625 1646268525 2743780875 8231342625