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82081501308 = 223644363541
BaseRepresentation
bin100110001110001110…
…0000101000001111100
321211212101211022000000
41030130130011001330
52321100331020213
6101412511234300
75634025151352
oct1143434050174
9254771738000
1082081501308
11318a095a8a4
1213aa8b18990
1379814469b1
143d893ab7d2
1522060cec73
hex131c70507c

82081501308 has 84 divisors (see below), whose sum is σ = 215854969848. Its totient is φ = 27298308960.

The previous prime is 82081501303. The next prime is 82081501331. The reversal of 82081501308 is 80310518028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82081501301) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1260018 + ... + 1323558.

It is an arithmetic number, because the mean of its divisors is an integer number (2569702022).

Almost surely, 282081501308 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 82081501308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107927484924).

82081501308 is an abundant number, since it is smaller than the sum of its proper divisors (133773468540).

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

82081501308 is a wasteful number, since it uses less digits than its factorization.

82081501308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64006 (or 63989 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 82081501308 in words is "eighty-two billion, eighty-one million, five hundred one thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 443 486 729 886 972 1329 1458 1772 2658 2916 3987 5316 7974 11961 15948 23922 35883 47844 63541 71766 107649 127082 143532 190623 215298 254164 322947 381246 430596 571869 645894 762492 1143738 1291788 1715607 2287476 3431214 5146821 6862428 10293642 15440463 20587284 28148663 30880926 46321389 56297326 61761852 84445989 92642778 112594652 168891978 185285556 253337967 337783956 506675934 760013901 1013351868 1520027802 2280041703 3040055604 4560083406 6840125109 9120166812 13680250218 20520375327 27360500436 41040750654 82081501308