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81768763395 = 32511318536247
BaseRepresentation
bin100110000100111001…
…1000101000000000011
321211001121100120020100
41030021303011000003
52314430300412040
6101321500213443
75623210010124
oct1141163050003
9254047316210
1081768763395
1131750376210
1213a2023a283
137931709087
143d59a4004b
1521d8906b30
hex1309cc5003

81768763395 has 96 divisors (see below), whose sum is σ = 159817641984. Its totient is φ = 38315462400.

The previous prime is 81768763379. The next prime is 81768763429. The reversal of 81768763395 is 59336786718.

81768763395 is a `hidden beast` number, since 8 + 176 + 8 + 76 + 3 + 395 = 666.

It is not a de Polignac number, because 81768763395 - 24 = 81768763379 is a prime.

It is a super-2 number, since 2×817687633952 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13086162 + ... + 13092408.

It is an arithmetic number, because the mean of its divisors is an integer number (1664767104).

Almost surely, 281768763395 is an apocalyptic number.

81768763395 is a deficient number, since it is larger than the sum of its proper divisors (78048878589).

81768763395 is a wasteful number, since it uses less digits than its factorization.

81768763395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7150 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 81768763395 in words is "eighty-one billion, seven hundred sixty-eight million, seven hundred sixty-three thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 853 1023 1395 1705 2559 3069 4265 5115 6247 7677 9383 12795 15345 18741 26443 28149 31235 38385 46915 56223 68717 79329 84447 93705 132215 140745 193657 206151 237987 281115 290873 343585 396645 422235 580971 618453 872619 968285 1030755 1189935 1454365 1742913 2130227 2617857 2904855 3092265 4363095 5328691 6390681 8714565 10651135 13089285 15986073 19172043 26643455 31953405 47958219 58615601 79930365 95860215 165189421 175846803 239791095 293078005 495568263 527540409 825947105 879234015 1486704789 1817083631 2477841315 2637702045 5451250893 7433523945 9085418155 16353752679 27256254465 81768763395