Search a number
-
+
17321345019664 = 24721486392
BaseRepresentation
bin1111110000001111000010…
…0111011110111100010000
32021022220102022112121022121
43330003300213132330100
54232243103311112124
6100501152133344024
73435266035250200
oct374036047367420
967286368477277
1017321345019664
115578a39773884
121b38bab498014
1398851b8288aa
1443c50126c400
1520087bba12e4
hexfc0f09def10

17321345019664 has 45 divisors (see below), whose sum is σ = 39039569598087. Its totient is φ = 7423383637152.

The previous prime is 17321345019623. The next prime is 17321345019703. The reversal of 17321345019664 is 46691054312371.

The square root of 17321345019664 is 4161892.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116458657 + ... + 116607295.

Almost surely, 217321345019664 is an apocalyptic number.

17321345019664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

17321345019664 is the 4161892-nd square number.

It is an amenable number.

17321345019664 is an abundant number, since it is smaller than the sum of its proper divisors (21718224578423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17321345019664 is an frugal number, since it uses more digits than its factorization.

17321345019664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297300 (or 148648 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 17321345019664 in words is "seventeen trillion, three hundred twenty-one billion, three hundred forty-five million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 148639 297278 594556 1040473 1189112 2080946 2378224 4161892 7283311 8323784 14566622 16647568 29133244 58266488 116532976 22093552321 44187104642 88374209284 154654866247 176748418568 309309732494 353496837136 618619464988 1082584063729 1237238929976 2165168127458 2474477859952 4330336254916 8660672509832 17321345019664