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572442122713000 = 23534119237725789
BaseRepresentation
bin1000001000101000100001000…
…1011000001111011110101000
32210001211221011202221011111111
42002022020101120033132220
51100012342431403304000
65345252140350240104
7231401402305243321
oct20212102130173650
92701757152834444
10572442122713000
11156441382810881
12542531507b6034
131b7550a3033727
14a1504bcdc1448
15462a7eed03cba
hex208a21160f7a8

572442122713000 has 128 divisors (see below), whose sum is σ = 1372258875405600. Its totient is φ = 223380127488000.

The previous prime is 572442122712947. The next prime is 572442122713007. The reversal of 572442122713000 is 317221244275.

It can be written as a sum of positive squares in 16 ways, for example, as 398488550503684 + 173953572209316 = 19962178^2 + 13189146^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (572442122713007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 788354106 + ... + 789079894.

Almost surely, 2572442122713000 is an apocalyptic number.

572442122713000 is a gapful number since it is divisible by the number (50) 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 572442122713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686129437702800).

572442122713000 is an abundant number, since it is smaller than the sum of its proper divisors (799816752692600).

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

572442122713000 is a wasteful number, since it uses less digits than its factorization.

572442122713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745088 (or 745074 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

Adding to 572442122713000 its reverse (317221244275), we get a palindrome (572759343957275).

The spelling of 572442122713000 in words is "five hundred seventy-two trillion, four hundred forty-two billion, one hundred twenty-two million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 19237 20500 38474 41000 76948 96185 153896 192370 384740 480925 725789 769480 788717 961850 1451578 1577434 1923700 2404625 2903156 3154868 3628945 3847400 3943585 4809250 5806312 6309736 7257890 7887170 9618500 14515780 15774340 18144725 19237000 19717925 29031560 29757349 31548680 36289450 39435850 59514698 72578900 78871700 90723625 98589625 119029396 145157800 148786745 157743400 181447250 197179250 238058792 297573490 362894500 394358500 595146980 725789000 743933725 788717000 1190293960 1487867450 2975734900 3719668625 5951469800 7439337250 13962002993 14878674500 27924005986 29757349000 55848011972 69810014965 111696023944 139620029930 279240059860 349050074825 558480119720 572442122713 698100149650 1144884245426 1396200299300 1745250374125 2289768490852 2792400598600 2862210613565 3490500748250 4579536981704 5724421227130 6981001496500 11448842454260 13962002993000 14311053067825 22897684908520 28622106135650 57244212271300 71555265339125 114488424542600 143110530678250 286221061356500 572442122713000