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82938824113 = 235637019137
BaseRepresentation
bin100110100111110001…
…0100000010110110001
321221002011000210210111
41031033202200112301
52324324314332423
6102033534501321
75664205241635
oct1151742402661
9257064023714
1082938824113
11321a0893142
12140a8064841
137a89c4a0b2
14402b1b8dc5
1522564cb60d
hex134f8a05b1

82938824113 has 16 divisors (see below), whose sum is σ = 86831761536. Its totient is φ = 79070252800.

The previous prime is 82938824093. The next prime is 82938824123. The reversal of 82938824113 is 31142883928.

It is a cyclic number.

It is not a de Polignac number, because 82938824113 - 233 = 74348889521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82938824123) 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, 9072681 + ... + 9081817.

It is an arithmetic number, because the mean of its divisors is an integer number (5426985096).

Almost surely, 282938824113 is an apocalyptic number.

It is an amenable number.

82938824113 is a deficient number, since it is larger than the sum of its proper divisors (3892937423).

82938824113 is a wasteful number, since it uses less digits than its factorization.

82938824113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424.

The product of its digits is 663552, while the sum is 49.

The spelling of 82938824113 in words is "eighty-two billion, nine hundred thirty-eight million, eight hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 23 563 701 9137 12949 16123 210151 394663 5144131 6405037 9077249 118315013 147315851 3606035831 82938824113