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82712496386 = 21344960111789
BaseRepresentation
bin100110100001000001…
…1001000100100000010
321220111101011011112002
41031002003020210002
52323343344341021
6101555251504002
75655456422222
oct1150203104402
9256441134462
1082712496386
1132095058833
12140442b8002
137a520a5470
144009102082
1522416c150b
hex13420c8902

82712496386 has 32 divisors (see below), whose sum is σ = 134144262000. Its totient is φ = 38023372800.

The previous prime is 82712496353. The next prime is 82712496389. The reversal of 82712496386 is 68369421728.

It can be written as a sum of positive squares in 8 ways, for example, as 20813544361 + 61898952025 = 144269^2 + 248795^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82712496389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7010180 + ... + 7021968.

Almost surely, 282712496386 is an apocalyptic number.

82712496386 is a deficient number, since it is larger than the sum of its proper divisors (51431765614).

82712496386 is a wasteful number, since it uses less digits than its factorization.

82712496386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854.

The product of its digits is 6967296, while the sum is 56.

The spelling of 82712496386 in words is "eighty-two billion, seven hundred twelve million, four hundred ninety-six thousand, three hundred eighty-six".

Divisors: 1 2 13 26 449 601 898 1202 5837 7813 11674 11789 15626 23578 153257 269849 306514 539698 3508037 5293261 7016074 7085189 10586522 14170378 68812393 92107457 137624786 184214914 3181249861 6362499722 41356248193 82712496386