Search a number
-
+
28880822602600 = 23521717534845613
BaseRepresentation
bin1101001000100010101110…
…01011000000101101101000
310210020222110011222021010121
412210101113023000231220
512241140411041240400
6141231400003253024
76040366464440113
oct644212713005550
9123228404867117
1028880822602600
11922531948a601
1232a536907a174
1313165b0524167
1471bba6d6b57a
153513ca8eb21a
hex1a44572c0b68

28880822602600 has 96 divisors (see below), whose sum is σ = 71138362221720. Its totient is φ = 10866575646720.

The previous prime is 28880822602547. The next prime is 28880822602613. The reversal of 28880822602600 is 620622808882.

It can be written as a sum of positive squares in 12 ways, for example, as 27359144836 + 28853463457764 = 165406^2 + 5371542^2 .

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 23 ways as a sum of consecutive naturals, for example, 3537394 + ... + 8383006.

Almost surely, 228880822602600 is an apocalyptic number.

28880822602600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28880822602600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35569181110860).

28880822602600 is an abundant number, since it is smaller than the sum of its proper divisors (42257539619120).

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

28880822602600 is a wasteful number, since it uses less digits than its factorization.

28880822602600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847399 (or 4847390 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 28880822602600 in words is "twenty-eight trillion, eight hundred eighty billion, eight hundred twenty-two million, six hundred two thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 1753 3400 3506 7012 8765 14024 17530 29801 35060 43825 59602 70120 87650 119204 149005 175300 238408 298010 350600 596020 745025 1192040 1490050 2980100 4845613 5960200 9691226 19382452 24228065 38764904 48456130 82375421 96912260 121140325 164750842 193824520 242280650 329501684 411877105 484561300 659003368 823754210 969122600 1647508420 2059385525 3295016840 4118771050 8237542100 8494359589 16475084200 16988719178 33977438356 42471797945 67954876712 84943595890 144404113013 169887191780 212358989725 288808226026 339774383560 424717979450 577616452052 722020565065 849435958900 1155232904104 1444041130130 1698871917800 2888082260260 3610102825325 5776164520520 7220205650650 14440411301300 28880822602600