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1042765844420 = 2253721112495347
BaseRepresentation
bin11110010110010011011…
…00000000111111000100
310200200120010220102020202
433023021230000333010
5114041041024010140
62115012350550032
7135223465301126
oct17131154007704
93620503812222
101042765844420
11372264152873
1214a118208318
1377442379a21
14386820a7216
151c1d0e8c915
hexf2c9b00fc4

1042765844420 has 96 divisors (see below), whose sum is σ = 2261883120000. Its totient is φ = 403510947840.

The previous prime is 1042765844413. The next prime is 1042765844459. The reversal of 1042765844420 is 244485672401.

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 31 ways as a sum of consecutive naturals, for example, 195016187 + ... + 195021533.

It is an arithmetic number, because the mean of its divisors is an integer number (23561282500).

Almost surely, 21042765844420 is an apocalyptic number.

1042765844420 is a gapful number since it is divisible by the number (10) 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 1042765844420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130941560000).

1042765844420 is an abundant number, since it is smaller than the sum of its proper divisors (1219117275580).

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

1042765844420 is a wasteful number, since it uses less digits than its factorization.

1042765844420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 1042765844420 in words is "one trillion, forty-two billion, seven hundred sixty-five million, eight hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 211 370 422 740 844 1055 1249 2110 2498 4220 4996 5347 6245 7807 10694 12490 15614 21388 24980 26735 31228 39035 46213 53470 78070 92426 106940 156140 184852 197839 231065 263539 395678 462130 527078 791356 924260 989195 1054156 1128217 1317695 1978390 2256434 2635390 3956780 4512868 5270780 5641085 6678403 9750943 11282170 13356806 19501886 22564340 26713612 33392015 39003772 41744029 48754715 66784030 83488058 97509430 133568060 166976116 195018860 208720145 247100911 417440290 494201822 834880580 988403644 1235504555 1409143033 2471009110 2818286066 4942018220 5636572132 7045715165 14091430330 28182860660 52138292221 104276584442 208553168884 260691461105 521382922210 1042765844420