Search a number
-
+
21743960693764 = 221732134772
BaseRepresentation
bin1001111000110101010010…
…00011011001110000000100
32211222200222000011221210211
410330122221003121300010
510322223112414200024
6114125012044125204
74402643421233251
oct474325103316004
984880860157724
1021743960693764
116a2361aa474a1
122532160536804
13c195a650a62a
145525b01b8428
1527a924c4a594
hex13c6a90d9c04

21743960693764 has 27 divisors (see below), whose sum is σ = 38275996078047. Its totient is φ = 10808334486624.

The previous prime is 21743960693659. The next prime is 21743960693771. The reversal of 21743960693764 is 46739606934712.

The square root of 21743960693764 is 4663042.

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 8406856693764 + 13337104000000 = 2899458^2 + 3652000^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21743960693764.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1613405794 + ... + 1613419270.

Almost surely, 221743960693764 is an apocalyptic number.

21743960693764 is the 4663042-nd square number.

It is an amenable number.

21743960693764 is a deficient number, since it is larger than the sum of its proper divisors (16532035384283).

21743960693764 is an frugal number, since it uses more digits than its factorization.

21743960693764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27304 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 67.

The spelling of 21743960693764 in words is "twenty-one trillion, seven hundred forty-three billion, nine hundred sixty million, six hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 173 346 692 13477 26954 29929 53908 59858 119716 2331521 4663042 9326084 181629529 363259058 403353133 726518116 806706266 1613412532 31421908517 62843817034 125687634068 5435990173441 10871980346882 21743960693764