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82505083551 = 3113724144543
BaseRepresentation
bin100110011010110101…
…1111010101010011111
321212221220212111121020
41030311223322222133
52322432300133201
6101522522135223
75650360432122
oct1146553725237
9255856774536
1082505083551
1131a98a72470
1213ba6951513
137a1b124087
143dc97503b9
15222d3a0a36
hex1335afaa9f

82505083551 has 48 divisors (see below), whose sum is σ = 126349590528. Its totient is φ = 47463955200.

The previous prime is 82505083541. The next prime is 82505083559. The reversal of 82505083551 is 15538050528.

It is not a de Polignac number, because 82505083551 - 233 = 73915148959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82505083559) 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 47 ways as a sum of consecutive naturals, for example, 1829986 + ... + 1874528.

It is an arithmetic number, because the mean of its divisors is an integer number (2632283136).

Almost surely, 282505083551 is an apocalyptic number.

82505083551 is a deficient number, since it is larger than the sum of its proper divisors (43844506977).

82505083551 is a wasteful number, since it uses less digits than its factorization.

82505083551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44672 (or 44635 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 82505083551 in words is "eighty-two billion, five hundred five million, eighty-three thousand, five hundred fifty-one".

Divisors: 1 3 11 33 37 41 111 123 407 451 1221 1353 1369 1517 4107 4551 15059 16687 44543 45177 50061 56129 133629 168387 489973 617419 1469919 1648091 1826263 1852257 4944273 5478789 18129001 20088893 54387003 60266679 60979367 67571731 182938101 202715193 670773037 743289041 2012319111 2229867123 2500154047 7500462141 27501694517 82505083551