Search a number
-
+
2194415598736 = 24199218612
BaseRepresentation
bin11111111011101101010…
…111001011110010010000
321202210011121002120002001
4133323231113023302100
5241423130343124421
64400033422003344
7314353443553564
oct37735527136220
97683147076061
102194415598736
11776712440729
122b5361416554
1312bc1792b0aa
14782d30276a4
153c13605e691
hex1feed5cbc90

2194415598736 has 45 divisors (see below), whose sum is σ = 4275450206073. Its totient is φ = 1091107575360.

The previous prime is 2194415598733. The next prime is 2194415598811. The reversal of 2194415598736 is 6378955144912.

The square root of 2194415598736 is 1481356.

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., 2357685136 + 2192057913600 = 48556^2 + 1480560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2194415598733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1179158446 + ... + 1179160306.

Almost surely, 22194415598736 is an apocalyptic number.

2194415598736 is the 1481356-th square number.

It is an amenable number.

2194415598736 is a deficient number, since it is larger than the sum of its proper divisors (2081034607337).

2194415598736 is an frugal number, since it uses more digits than its factorization.

2194415598736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 2062 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

Multiplying 2194415598736 by its sum of digits (64), we get a square (140442598319104 = 118508482).

The spelling of 2194415598736 in words is "two trillion, one hundred ninety-four billion, four hundred fifteen million, five hundred ninety-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 199 398 796 1592 1861 3184 3722 7444 14888 29776 39601 79202 158404 316808 370339 633616 740678 1481356 2962712 3463321 5925424 6926642 13853284 27706568 55413136 73697461 147394922 294789844 589579688 689200879 1179159376 1378401758 2756803516 5513607032 11027214064 137150974921 274301949842 548603899684 1097207799368 2194415598736