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5595680139361 = 1321926121572
BaseRepresentation
bin101000101101101100010…
…0001101110100001100001
3201210221102120101112010221
41101123120201232201201
51213134423103424421
615522341525123041
71115163112255234
oct121333041564141
921727376345127
105595680139361
1118681296178a4
12764591b59481
13317893a6a400
14154b9201341b
159a8531d5841
hex516d886e861

5595680139361 has 81 divisors (see below), whose sum is σ = 6543146637963. Its totient is φ = 4782511693440.

The previous prime is 5595680139353. The next prime is 5595680139367. The reversal of 5595680139361 is 1639310865955.

The square root of 5595680139361 is 2365519.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4654508519761 + 941171619600 = 2157431^2 + 970140^2 .

It is not a de Polignac number, because 5595680139361 - 23 = 5595680139353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 5595680139361.

It is not an unprimeable number, because it can be changed into a prime (5595680139367) 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 80 ways as a sum of consecutive naturals, for example, 35641274695 + ... + 35641274851.

It is an arithmetic number, because the mean of its divisors is an integer number (80779588123).

Almost surely, 25595680139361 is an apocalyptic number.

5595680139361 is the 2365519-th square number.

5595680139361 is the 1182760-th centered octagonal number.

It is an amenable number.

5595680139361 is a deficient number, since it is larger than the sum of its proper divisors (947466498602).

5595680139361 is an equidigital number, since it uses as much as digits as its factorization.

5595680139361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 61.

The spelling of 5595680139361 in words is "five trillion, five hundred ninety-five billion, six hundred eighty million, one hundred thirty-nine thousand, three hundred sixty-one".

Divisors: 1 13 19 61 157 169 247 361 793 1159 2041 2983 3211 3721 4693 9577 10309 15067 22021 24649 26533 38779 48373 56677 61009 70699 124501 181963 195871 286273 320437 468331 504127 584197 628849 736801 919087 1343281 1503589 1618513 2365519 3457297 3721549 4165681 6088303 7594561 8898289 9578413 11099743 11948131 17462653 19546657 28568191 30751747 44944861 79147939 91718929 98729293 115677757 144296659 210895117 227014489 254106541 371386483 542795629 584283193 1192346077 1503810841 1742659651 1875856567 2741636521 4828024279 7056343177 15500499001 22654575463 33110533369 35641274773 91732461301 294509481019 430436933797 5595680139361