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82415269573 = 72132193161277
BaseRepresentation
bin100110011000001010…
…1010011011011000101
321212201122212110222121
41030300111103123011
52322241302111243
6101505553125541
75645220142600
oct1146025233305
9255648773877
1082415269573
1131a522a893a
1213b808598b1
137a05638a00
143dbb851337
15222555e1ed
hex13305536c5

82415269573 has 144 divisors (see below), whose sum is σ = 115064778240. Its totient is φ = 58590604800.

The previous prime is 82415269549. The next prime is 82415269579. The reversal of 82415269573 is 37596251428.

It is a de Polignac number, because none of the positive numbers 2k-82415269573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82415269573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82415269579) 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 143 ways as a sum of consecutive naturals, for example, 297527911 + ... + 297528187.

It is an arithmetic number, because the mean of its divisors is an integer number (799060960).

Almost surely, 282415269573 is an apocalyptic number.

It is an amenable number.

82415269573 is a deficient number, since it is larger than the sum of its proper divisors (32649508667).

82415269573 is a wasteful number, since it uses less digits than its factorization.

82415269573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 82415269573 in words is "eighty-two billion, four hundred fifteen million, two hundred sixty-nine thousand, five hundred seventy-three".

Divisors: 1 7 13 19 31 49 61 91 133 169 217 247 277 403 427 589 637 793 931 1159 1183 1519 1729 1891 1939 2821 2989 3211 3601 4123 5239 5263 5551 7657 8113 8281 8587 10309 12103 13237 13573 15067 16897 19747 22477 24583 25207 28861 35929 36673 36841 38857 46813 53599 56791 60109 68419 72163 92659 99541 105469 111631 118279 157339 163153 172081 176449 195871 219661 251503 256711 257887 319579 321043 327691 375193 420763 467077 478933 505141 523807 696787 738283 781417 827953 889447 1142071 1204567 1371097 1451203 1537627 1760521 2120989 2237053 2247301 2293837 2855593 3269539 3352531 3666649 4173559 4877509 5469919 6072001 6226129 6809491 7994497 9597679 9952333 10158421 10763389 14846923 15659371 15731107 19989151 22886773 25666543 27572857 29214913 42504007 43582903 47666437 54256267 69666331 71108947 88523383 103928461 129380329 139924057 193009999 204504391 297528049 333665059 379793869 487664317 619663681 905662303 1351069993 1681944277 2658557083 4337645767 6339636121 11773609939 82415269573