Search a number
-
+
2016706416 = 243163383673
BaseRepresentation
bin111100000110100…
…0111111101110000
312012112210022010020
41320031013331300
513112234101131
6532041003440
7100655502354
oct17015077560
95175708106
102016706416
1194541841a
12483483580
13261a7660a
14151ba7464
15bc0b2996
hex78347f70

2016706416 has 80 divisors (see below), whose sum is σ = 5263282176. Its totient is φ = 665376768.

The previous prime is 2016706411. The next prime is 2016706427. The reversal of 2016706416 is 6146076102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016706411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2996256 + ... + 2996928.

Almost surely, 22016706416 is an apocalyptic number.

It is an amenable number.

2016706416 is an abundant number, since it is smaller than the sum of its proper divisors (3246575760).

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

2016706416 is a wasteful number, since it uses less digits than its factorization.

2016706416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2016706416 is about 44907.7545196818. The cubic root of 2016706416 is about 1263.4194544657.

The spelling of 2016706416 in words is "two billion, sixteen million, seven hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 383 489 652 673 766 978 1149 1304 1346 1532 1956 2019 2298 2608 2692 3064 3912 4038 4596 5384 6128 7824 8076 9192 10768 16152 18384 32304 62429 109699 124858 187287 219398 249716 257759 329097 374574 438796 499432 515518 658194 749148 773277 877592 998864 1031036 1316388 1498296 1546554 1755184 2062072 2632776 2996592 3093108 4124144 5265552 6186216 12372432 42014717 84029434 126044151 168058868 252088302 336117736 504176604 672235472 1008353208 2016706416