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83075495139 = 32713191272331
BaseRepresentation
bin100110101011110101…
…1110111010011100011
321221102200012102012100
41031113223313103203
52330114311321024
6102055300101443
76000455025510
oct1152753672343
9257380172170
1083075495139
1132260a510aa
1214125994883
137aac360120
1440413d4307
1522634c67c9
hex1357af74e3

83075495139 has 144 divisors (see below), whose sum is σ = 157170074880. Its totient is φ = 41062412160.

The previous prime is 83075495119. The next prime is 83075495227. The reversal of 83075495139 is 93159457038.

83075495139 is a `hidden beast` number, since 83 + 0 + 7 + 5 + 49 + 513 + 9 = 666.

It is not a de Polignac number, because 83075495139 - 28 = 83075494883 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83075495119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250983204 + ... + 250983534.

Almost surely, 283075495139 is an apocalyptic number.

83075495139 is a deficient number, since it is larger than the sum of its proper divisors (74094579741).

83075495139 is a wasteful number, since it uses less digits than its factorization.

83075495139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 83075495139 in words is "eighty-three billion, seventy-five million, four hundred ninety-five thousand, one hundred thirty-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 127 133 171 247 273 331 381 399 741 819 889 993 1143 1197 1651 1729 2223 2317 2413 2667 2979 4303 4953 5187 6289 6951 7239 8001 11557 12909 14859 15561 16129 16891 18867 20853 21717 30121 31369 34671 38727 42037 44023 48387 50673 56601 81757 90363 94107 104013 112903 126111 132069 145161 152019 209677 219583 245271 271089 282321 294259 306451 338709 378333 396207 546481 572299 629031 658749 735813 798703 882777 919353 1016127 1467739 1639443 1716897 1887093 1976247 2145157 2396109 2648331 2758059 3825367 3983863 4403217 4918329 5150691 5338699 5590921 6435471 7188327 10383139 11476101 11951589 13209651 16016097 16772763 19306413 27887041 31149417 34428303 35854767 37370893 48048291 50318289 69403087 72681973 83661123 93448251 101435281 112112679 208209261 218045919 250983369 304305843 336338037 485821609 624627783 654137757 710046967 912917529 1318658653 1457464827 2130140901 3955975959 4372394481 6390422703 9230610571 11867927877 27691831713 83075495139