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82131458675 = 52717733171193
BaseRepresentation
bin100110001111101101…
…0101001101001110011
321211222212211101121212
41030133122221221303
52321201123134200
6101421454110335
75635202610560
oct1143732515163
9254885741555
1082131458675
1131917081582
1213b017ab3ab
13798b8b8876
143d91c93867
15220a69c035
hex131f6a9a73

82131458675 has 96 divisors (see below), whose sum is σ = 125425936512. Its totient is φ = 52071137280.

The previous prime is 82131458671. The next prime is 82131458711. The reversal of 82131458675 is 57685413128.

It is not a de Polignac number, because 82131458675 - 22 = 82131458671 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82131458671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68843879 + ... + 68845071.

It is an arithmetic number, because the mean of its divisors is an integer number (1306520172).

Almost surely, 282131458675 is an apocalyptic number.

82131458675 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82131458675 is a deficient number, since it is larger than the sum of its proper divisors (43294477837).

82131458675 is a wasteful number, since it uses less digits than its factorization.

82131458675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The spelling of 82131458675 in words is "eighty-two billion, one hundred thirty-one million, four hundred fifty-eight thousand, six hundred seventy-five".

Divisors: 1 5 7 17 25 35 73 85 119 175 317 365 425 511 595 1193 1241 1585 1825 2219 2555 2975 5389 5965 6205 7925 8351 8687 11095 12775 20281 23141 26945 29825 31025 37723 41755 43435 55475 87089 101405 115705 134725 141967 161987 188615 208775 217175 378181 393397 435445 507025 578525 609623 709835 809935 943075 1480513 1890905 1966985 2177225 2647267 2753779 3048115 3549175 4049675 6429077 7402565 9454525 9834925 10363591 13236335 13768895 15240575 27607213 32145385 37012825 45003539 51817955 66181675 68844475 138036065 160726925 193250491 225017695 259089775 469322621 690180325 966252455 1125088475 2346613105 3285258347 4831262275 11733065525 16426291735 82131458675