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16871931664 = 247246392
BaseRepresentation
bin11111011011010010…
…10011111100010000
31121112211111221011221
433231221103330100
5234023203303124
611430104014424
71135050024100
oct175551237420
947484457157
1016871931664
117178846a85
12332a461414
13178b602c23
14b60aa3200
1568b32ace4
hex3eda53f10

16871931664 has 45 divisors (see below), whose sum is σ = 38034606087. Its totient is φ = 7229269152.

The previous prime is 16871931599. The next prime is 16871931667. The reversal of 16871931664 is 46613917861.

The square root of 16871931664 is 129892.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16871931667) 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 8 ways as a sum of consecutive naturals, for example, 3634657 + ... + 3639295.

Almost surely, 216871931664 is an apocalyptic number.

16871931664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16871931664 is the 129892-nd square number.

It is an amenable number.

16871931664 is an abundant number, since it is smaller than the sum of its proper divisors (21162674423).

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

16871931664 is an frugal number, since it uses more digits than its factorization.

16871931664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300 (or 4648 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 16871931664 in words is "sixteen billion, eight hundred seventy-one million, nine hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4639 9278 18556 32473 37112 64946 74224 129892 227311 259784 454622 519568 909244 1818488 3636976 21520321 43040642 86081284 150642247 172162568 301284494 344325136 602568988 1054495729 1205137976 2108991458 2410275952 4217982916 8435965832 16871931664