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2144546664 = 2331316342169
BaseRepresentation
bin111111111010011…
…0010111101101000
312112110100020222020
41333310302331220
513343000443124
6552445024440
7104100226431
oct17764627550
95473306866
102144546664
11a005a4717
124ba255120
132823b7030
14164b64488
15c8416379
hex7fd32f68

2144546664 has 64 divisors (see below), whose sum is σ = 5809339200. Its totient is φ = 655796736.

The previous prime is 2144546641. The next prime is 2144546669. The reversal of 2144546664 is 4666454412.

It is not an unprimeable number, because it can be changed into a prime (2144546669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29772 + ... + 71940.

It is an arithmetic number, because the mean of its divisors is an integer number (90770925).

Almost surely, 22144546664 is an apocalyptic number.

2144546664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144546664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904669600).

2144546664 is an abundant number, since it is smaller than the sum of its proper divisors (3664792536).

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

2144546664 is a wasteful number, since it uses less digits than its factorization.

2144546664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42354 (or 42350 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 2144546664 is about 46309.2503070391. The cubic root of 2144546664 is about 1289.5707291110.

The spelling of 2144546664 in words is "two billion, one hundred forty-four million, five hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 489 652 978 1304 1956 2119 3912 4238 6357 8476 12714 16952 25428 42169 50856 84338 126507 168676 253014 337352 506028 548197 1012056 1096394 1644591 2192788 3289182 4385576 6578364 6873547 13156728 13747094 20620641 27494188 41241282 54988376 82482564 89356111 164965128 178712222 268068333 357424444 536136666 714848888 1072273332 2144546664