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82508933568 = 2631495715051
BaseRepresentation
bin100110011010111101…
…0100110100111000000
321212222012010002211110
41030311322212213000
52322434241333233
6101523140443320
75650435235505
oct1146572464700
9255865102743
1082508933568
1131aa0161aa6
1213ba80a9540
137a1bb715a9
143dca0734ac
15222d8b1663
hex1335ea69c0

82508933568 has 112 divisors (see below), whose sum is σ = 220198492800. Its totient is φ = 27265152000.

The previous prime is 82508933567. The next prime is 82508933579. The reversal of 82508933568 is 86533980528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82508933567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16332643 + ... + 16337693.

Almost surely, 282508933568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82508933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110099246400).

82508933568 is an abundant number, since it is smaller than the sum of its proper divisors (137689559232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82508933568 is a wasteful number, since it uses less digits than its factorization.

82508933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 82508933568 in words is "eighty-two billion, five hundred eight million, nine hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 571 596 894 1142 1192 1713 1788 2284 2384 3426 3576 4568 4768 5051 6852 7152 9136 9536 10102 13704 14304 15153 18272 20204 27408 28608 30306 36544 40408 54816 60612 80816 85079 109632 121224 161632 170158 242448 255237 323264 340316 484896 510474 680632 752599 969792 1020948 1361264 1505198 2041896 2257797 2722528 2884121 3010396 4083792 4515594 5445056 5768242 6020792 8167584 8652363 9031188 11536484 12041584 16335168 17304726 18062376 23072968 24083168 34609452 36124752 46145936 48166336 69218904 72249504 92291872 138437808 144499008 184583744 276875616 429734029 553751232 859468058 1289202087 1718936116 2578404174 3437872232 5156808348 6875744464 10313616696 13751488928 20627233392 27502977856 41254466784 82508933568