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83090459921 = 7171016913259
BaseRepresentation
bin100110101100010010…
…0111100110100010001
321221110201100201000112
41031120210330310101
52330132124204141
6102100552531105
76001026153560
oct1153044746421
9257421321015
1083090459921
1132269442397
121412a9b0a95
137ab249c721
1440433abbd7
1522649807eb
hex135893cd11

83090459921 has 16 divisors (see below), whose sum is σ = 101541962880. Its totient is φ = 66367276800.

The previous prime is 83090459909. The next prime is 83090459923. The reversal of 83090459921 is 12995409038.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83090459921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83090459921.

It is not an unprimeable number, because it can be changed into a prime (83090459923) 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, 3444611 + ... + 3468648.

It is an arithmetic number, because the mean of its divisors is an integer number (6346372680).

Almost surely, 283090459921 is an apocalyptic number.

It is an amenable number.

83090459921 is a deficient number, since it is larger than the sum of its proper divisors (18451502959).

83090459921 is a wasteful number, since it uses less digits than its factorization.

83090459921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913384.

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 83090459921 in words is "eighty-three billion, ninety million, four hundred fifty-nine thousand, nine hundred twenty-one".

Divisors: 1 7 17 101 119 707 1717 12019 6913259 48392813 117525403 698239159 822677821 4887674113 11870065703 83090459921