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82171467072 = 2632421338857
BaseRepresentation
bin100110010000111001…
…1010001010101000000
321212002200010000211100
41030201303101111000
52321241343421242
6101425443414400
75636166642252
oct1144163212500
9255080100740
1082171467072
1131937718472
1213b13084400
137996c86186
143d97309cd2
15220de5154c
hex1321cd1540

82171467072 has 84 divisors (see below), whose sum is σ = 236089823476. Its totient is φ = 27325347840.

The previous prime is 82171467013. The next prime is 82171467127. The reversal of 82171467072 is 27076417128.

It can be written as a sum of positive squares in 2 ways, for example, as 38834220096 + 43337246976 = 197064^2 + 208176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73068 + ... + 411924.

Almost surely, 282171467072 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 82171467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118044911738).

82171467072 is an abundant number, since it is smaller than the sum of its proper divisors (153918356404).

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

82171467072 is a wasteful number, since it uses less digits than its factorization.

82171467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339296 (or 339283 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 82171467072 in words is "eighty-two billion, one hundred seventy-one million, four hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 421 576 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 26944 30312 40416 60624 80832 121248 242496 338857 677714 1016571 1355428 2033142 2710856 3049713 4066284 5421712 6099426 8132568 10843424 12198852 16265136 21686848 24397704 32530272 48795408 65060544 97590816 142658797 195181632 285317594 427976391 570635188 855952782 1141270376 1283929173 1711905564 2282540752 2567858346 3423811128 4565081504 5135716692 6847622256 9130163008 10271433384 13695244512 20542866768 27390489024 41085733536 82171467072