Search a number
-
+
128812103609764 = 222251225212
BaseRepresentation
bin11101010010011101100111…
…101011011010110110100100
3121220002022112222101021000111
4131102131213223122312210
5113340424142011003024
61133543244035422404
736063240003040441
oct3522354753326644
9556068488337014
10128812103609764
11380529a73aa313
1212544794a54a04
1356b4c1073a863
1423b47793429c8
15ed5a72297a94
hex752767adada4

128812103609764 has 27 divisors (see below), whose sum is σ = 225610861081473. Its totient is φ = 64351903140000.

The previous prime is 128812103609681. The next prime is 128812103609797. The reversal of 128812103609764 is 467906301218821.

The square root of 128812103609764 is 11349542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102171008164 + 128709932601600 = 319642^2 + 11345040^2 .

It is a super-2 number, since 2×1288121036097642 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128812103609699 and 128812103609708.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51095636824 + ... + 51095639344.

Almost surely, 2128812103609764 is an apocalyptic number.

128812103609764 is the 11349542-nd square number.

It is an amenable number.

128812103609764 is a deficient number, since it is larger than the sum of its proper divisors (96798757471709).

128812103609764 is an frugal number, since it uses more digits than its factorization.

128812103609764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 128812103609764 in words is "one hundred twenty-eight trillion, eight hundred twelve billion, one hundred three million, six hundred nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 2251 2521 4502 5042 9004 10084 5067001 5674771 6355441 10134002 11349542 12710882 20268004 22699084 25421764 12773909521 14306097691 25547819042 28612195382 51095638084 57224390764 32203025902441 64406051804882 128812103609764