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82248012468 = 22334317710597
BaseRepresentation
bin100110010011001011…
…1010001001010110100
321212022000010221101000
41030212113101022310
52321420442344333
6101441220203300
75641116366546
oct1144627211264
9255260127330
1082248012468
113197694a126
1213b34839530
1379a9aa6ccb
143da3553696
152215a21713
hex13265d12b4

82248012468 has 48 divisors (see below), whose sum is σ = 218194567360. Its totient is φ = 26778421152.

The previous prime is 82248012461. The next prime is 82248012491. The reversal of 82248012468 is 86421084228.

82248012468 is a `hidden beast` number, since 82 + 24 + 80 + 12 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82248012461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8850655 + ... + 8859942.

Almost surely, 282248012468 is an apocalyptic number.

It is an amenable number.

82248012468 is an abundant number, since it is smaller than the sum of its proper divisors (135946554892).

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

82248012468 is a wasteful number, since it uses less digits than its factorization.

82248012468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710653 (or 17710645 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 82248012468 in words is "eighty-two billion, two hundred forty-eight million, twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 17710597 35421194 53131791 70842388 106263582 159395373 212527164 318790746 478186119 637581492 761555671 956372238 1523111342 1912744476 2284667013 3046222684 4569334026 6854001039 9138668052 13708002078 20562003117 27416004156 41124006234 82248012468