Search a number
-
+
336823909734169 = 1121321283412
BaseRepresentation
bin100110010010101101110110…
…1011111011101011100011001
31122011121001101101200222111001
41030211123231133131130121
5323122010331342443134
63152210433515305001
7130642503322652344
oct11445335537353431
91564531341628431
10336823909734169
1198360244077900
123193a891a4b161
13115c3487533900
145d2651559745b
1528e18699c3414
hex13256ed7dd719

336823909734169 has 27 divisors (see below), whose sum is σ = 400900827223197. Its totient is φ = 282647232410400.

The previous prime is 336823909734113. The next prime is 336823909734187. The reversal of 336823909734169 is 961437909328633.

The square root of 336823909734169 is 18352763.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2515158105625 + 334308751628544 = 1585925^2 + 18284112^2 .

It is not a de Polignac number, because 336823909734169 - 27 = 336823909734041 is a prime.

It is a super-2 number, since 2×3368239097341692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (336823909732169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2624380939 + ... + 2624509279.

Almost surely, 2336823909734169 is an apocalyptic number.

336823909734169 is the 18352763-rd square number.

336823909734169 is the 9176382-nd centered octagonal number.

It is an amenable number.

336823909734169 is a deficient number, since it is larger than the sum of its proper divisors (64076917489028).

336823909734169 is an frugal number, since it uses more digits than its factorization.

336823909734169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256730 (or 128365 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 73.

The spelling of 336823909734169 in words is "three hundred thirty-six trillion, eight hundred twenty-three billion, nine hundred nine million, seven hundred thirty-four thousand, one hundred sixty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 20449 128341 1411751 1668433 15529261 18352763 21689629 201880393 238585919 2624445109 16471412281 181185535091 214128359653 1993040886001 2355411956183 2783668675489 25909531518013 30620355430379 336823909734169