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82050030552 = 23375325136713
BaseRepresentation
bin100110001101010010…
…0000001101111011000
321211210012121102020110
41030122210001233120
52321014301434202
6101405424524320
75633163516030
oct1143244015730
9254705542213
1082050030552
1131885115406
1213a9a4806a0
137977a78449
143d851388c0
15220346526c
hex131a901bd8

82050030552 has 128 divisors (see below), whose sum is σ = 239809973760. Its totient is φ = 22908288000.

The previous prime is 82050030551. The next prime is 82050030553. The reversal of 82050030552 is 25503005028.

It is an interprime number because it is at equal distance from previous prime (82050030551) and next prime (82050030553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82050030551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216548 + ... + 2253260.

It is an arithmetic number, because the mean of its divisors is an integer number (1873515420).

Almost surely, 282050030552 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 82050030552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119904986880).

82050030552 is an abundant number, since it is smaller than the sum of its proper divisors (157759943208).

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

82050030552 is a wasteful number, since it uses less digits than its factorization.

82050030552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37033 (or 37029 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 82050030552 in words is "eighty-two billion, fifty million, thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 251 318 371 424 502 636 742 753 1004 1113 1272 1484 1506 1757 2008 2226 2968 3012 3514 4452 5271 6024 7028 8904 10542 13303 14056 21084 26606 36713 39909 42168 53212 73426 79818 93121 106424 110139 146852 159636 186242 220278 256991 279363 293704 319272 372484 440556 513982 558726 744968 770973 881112 1027964 1117452 1541946 1945789 2055928 2234904 3083892 3891578 5837367 6167784 7783156 9214963 11674734 13620523 15566312 18429926 23349468 27241046 27644889 36859852 40861569 46698936 54482092 55289778 64504741 73719704 81723138 108964184 110579556 129009482 163446276 193514223 221159112 258018964 326892552 387028446 488393039 516037928 774056892 976786078 1465179117 1548113784 1953572156 2930358234 3418751273 3907144312 5860716468 6837502546 10256253819 11721432936 13675005092 20512507638 27350010184 41025015276 82050030552