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81793432153 is a prime number
BaseRepresentation
bin100110000101101000…
…1001011101001011001
321211010022202212102001
41030023101023221121
52320003104312103
6101324141041001
75623626462526
oct1141321135131
9254108685361
1081793432153
1131763295214
1213a28556161
137936865584
143d5d02214d
1521dab7b01d
hex130b44ba59

81793432153 has 2 divisors, whose sum is σ = 81793432154. Its totient is φ = 81793432152.

The previous prime is 81793432151. The next prime is 81793432159. The reversal of 81793432153 is 35123439718.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44635857984 + 37157574169 = 211272^2 + 192763^2 .

It is a cyclic number.

It is not a de Polignac number, because 81793432153 - 21 = 81793432151 is a prime.

It is a super-4 number, since 4×817934321534 (a number of 45 digits) contains 4444 as substring.

Together with 81793432151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (81793432151) 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 as a sum of consecutive naturals, namely, 40896716076 + 40896716077.

It is an arithmetic number, because the mean of its divisors is an integer number (40896716077).

Almost surely, 281793432153 is an apocalyptic number.

It is an amenable number.

81793432153 is a deficient number, since it is larger than the sum of its proper divisors (1).

81793432153 is an equidigital number, since it uses as much as digits as its factorization.

81793432153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 46.

The spelling of 81793432153 in words is "eighty-one billion, seven hundred ninety-three million, four hundred thirty-two thousand, one hundred fifty-three".