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2739342045700 = 2252138292541841
BaseRepresentation
bin100111110111001101100…
…000100111001000000100
3100200212201110100020120201
4213313031200213020010
5324340133030430300
65454234130540244
7401624310126211
oct47671540471004
910625643306521
102739342045700
11966826196737
12382aa0137684
1316b41b6761a0
1496828c10b08
154b3cae0266a
hex27dcd827204

2739342045700 has 72 divisors (see below), whose sum is σ = 6409356276680. Its totient is φ = 1010228889600.

The previous prime is 2739342045677. The next prime is 2739342045703. The reversal of 2739342045700 is 75402439372.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 645978697984 + 2093363347716 = 803728^2 + 1446846^2 .

It is not an unprimeable number, because it can be changed into a prime (2739342045703) 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 23 ways as a sum of consecutive naturals, for example, 193221 + ... + 2348620.

Almost surely, 22739342045700 is an apocalyptic number.

2739342045700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2739342045700 is an abundant number, since it is smaller than the sum of its proper divisors (3670014230980).

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

2739342045700 is a wasteful number, since it uses less digits than its factorization.

2739342045700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542697 (or 2542690 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 2739342045700 in words is "two trillion, seven hundred thirty-nine billion, three hundred forty-two million, forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 829 1300 1658 3316 4145 8290 10777 16580 20725 21554 41450 43108 53885 82900 107770 215540 269425 538850 1077700 2541841 5083682 10167364 12709205 25418410 33043933 50836820 63546025 66087866 127092050 132175732 165219665 254184100 330439330 660878660 826098325 1652196650 2107186189 3304393300 4214372378 8428744756 10535930945 21071861890 27393420457 42143723780 52679654725 54786840914 105359309450 109573681828 136967102285 210718618900 273934204570 547868409140 684835511425 1369671022850 2739342045700