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82801683466383 = 3759887108769313
BaseRepresentation
bin10010110100111011000100…
…111011100000100010001111
3101212011202121200120120022110
4102310323010323200202033
541323110321431411013
6452034322424315103
723304136622501610
oct2264730473404217
9355152550516273
1082801683466383
1124423aa6754952
129353630312a93
13372821c080abb
1416638a11c9c07
15988cdd8e32c3
hex4b4ec4ee088f

82801683466383 has 64 divisors (see below), whose sum is σ = 128577226014720. Its totient is φ = 46417443489792.

The previous prime is 82801683466367. The next prime is 82801683466487. The reversal of 82801683466383 is 38366438610828.

It is not a de Polignac number, because 82801683466383 - 24 = 82801683466367 is a prime.

It is a super-2 number, since 2×828016834663832 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82801683467383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194570735 + ... + 1194640047.

It is an arithmetic number, because the mean of its divisors is an integer number (2009019156480).

Almost surely, 282801683466383 is an apocalyptic number.

82801683466383 is a deficient number, since it is larger than the sum of its proper divisors (45775542548337).

82801683466383 is a wasteful number, since it uses less digits than its factorization.

82801683466383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71356.

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 82801683466383 in words is "eighty-two trillion, eight hundred one billion, six hundred eighty-three million, four hundred sixty-six thousand, three hundred eighty-three".

Divisors: 1 3 7 21 59 177 413 887 1087 1239 2661 3261 6209 7609 18627 22827 52333 64133 69313 156999 192399 207939 366331 448931 485191 964169 1098993 1346793 1455573 2892507 4089467 6749183 12268401 20247549 28626269 56885971 61480631 75343231 85878807 170657913 184441893 226029693 398201797 430364417 527402617 1194605391 1291093251 1582207851 3627357229 4445250629 10882071687 13335751887 25391500603 31116754403 66829445897 76174501809 93350263209 200488337691 467806121279 1403418363837 3942937307923 11828811923769 27600561155461 82801683466383