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2084221875232 = 25797642114939
BaseRepresentation
bin11110010101000101010…
…011011111010000100000
321101020202000011102000101
4132111011103133100200
5233121441300001412
64233251152032144
7303402650426560
oct36250523372040
97336660142011
102084221875232
11733a05a05252
12297b29832654
131217062639c3
1472c3c216da0
1539336e4c457
hex1e5454df420

2084221875232 has 96 divisors (see below), whose sum is σ = 4738899634560. Its totient is φ = 883832463360.

The previous prime is 2084221875221. The next prime is 2084221875283. The reversal of 2084221875232 is 2325781224802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139508019 + ... + 139522957.

It is an arithmetic number, because the mean of its divisors is an integer number (49363537860).

Almost surely, 22084221875232 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 2084221875232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369449817280).

2084221875232 is an abundant number, since it is smaller than the sum of its proper divisors (2654677759328).

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

2084221875232 is a wasteful number, since it uses less digits than its factorization.

2084221875232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21466 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 2084221875232 in words is "two trillion, eighty-four billion, two hundred twenty-one million, eight hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 6421 10864 12842 14939 21728 25684 29878 44947 51368 59756 89894 102736 104573 119512 179788 205472 209146 239024 359576 418292 478048 622837 719152 836584 1245674 1438304 1449083 1673168 2491348 2898166 3346336 4359859 4982696 5796332 8719718 9965392 10143581 11592664 17439436 19930784 20287162 23185328 34878872 40574324 46370656 69757744 81148648 95923319 139515488 162297296 191846638 324594592 383693276 671463233 767386552 1342926466 1534773104 2685852932 3069546208 5371705864 9304561943 10743411728 18609123886 21486823456 37218247772 65131933601 74436495544 130263867202 148872991088 260527734404 297745982176 521055468808 1042110937616 2084221875232