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82611221919 = 31491433128969
BaseRepresentation
bin100110011110000000…
…0110011010110011111
321220020022120220001220
41030330000303112133
52323141433100134
6101541233104423
75653116541332
oct1147400632637
9256208526056
1082611221919
1132042976826
12140163b8113
137a37106845
143dd989c619
152237869149
hex133c03359f

82611221919 has 16 divisors (see below), whose sum is σ = 110965788000. Its totient is φ = 54665924096.

The previous prime is 82611221831. The next prime is 82611221923. The reversal of 82611221919 is 91912211628.

It is a cyclic number.

It is not a de Polignac number, because 82611221919 - 232 = 78316254623 is a prime.

It is a super-2 number, since 2×826112219192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82611221929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576067 + ... + 705035.

It is an arithmetic number, because the mean of its divisors is an integer number (6935361750).

Almost surely, 282611221919 is an apocalyptic number.

82611221919 is a deficient number, since it is larger than the sum of its proper divisors (28354566081).

82611221919 is a wasteful number, since it uses less digits than its factorization.

82611221919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130554.

The product of its digits is 31104, while the sum is 42.

The spelling of 82611221919 in words is "eighty-two billion, six hundred eleven million, two hundred twenty-one thousand, nine hundred nineteen".

Divisors: 1 3 149 447 1433 4299 128969 213517 386907 640551 19216381 57649143 184812577 554437731 27537073973 82611221919