Search a number
-
+
21047400384 = 2631933831483
BaseRepresentation
bin10011100110100001…
…011101011111000000
32000022211101201110120
4103212201131133000
5321101113303014
613400302500240
71343400644223
oct234641353700
960284351416
1021047400384
118a2078847a
1240b4894680
131ca569cb8a
1410394515ba
15832bb1ba9
hex4e685d7c0

21047400384 has 112 divisors (see below), whose sum is σ = 56160448512. Its totient is φ = 6956531712.

The previous prime is 21047400337. The next prime is 21047400419. The reversal of 21047400384 is 48300474012.

It is a congruent number.

It is an unprimeable number.

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, 14191707 + ... + 14193189.

It is an arithmetic number, because the mean of its divisors is an integer number (501432576).

Almost surely, 221047400384 is an apocalyptic number.

21047400384 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 21047400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080224256).

21047400384 is an abundant number, since it is smaller than the sum of its proper divisors (35113048128).

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

21047400384 is a wasteful number, since it uses less digits than its factorization.

21047400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 21047400384 its reverse (48300474012), we get a palindrome (69347874396).

The spelling of 21047400384 in words is "twenty-one billion, forty-seven million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 383 386 579 766 772 1149 1158 1483 1532 1544 2298 2316 2966 3064 3088 4449 4596 4632 5932 6128 6176 8898 9192 9264 11864 12256 12352 17796 18384 18528 23728 24512 35592 36768 37056 47456 71184 73536 73919 94912 142368 147838 221757 284736 286219 295676 443514 567989 572438 591352 858657 887028 1135978 1144876 1182704 1703967 1717314 1774056 2271956 2289752 2365408 3407934 3434628 3548112 4543912 4579504 4730816 6815868 6869256 7096224 9087824 9159008 13631736 13738512 14192448 18175648 18318016 27263472 27477024 36351296 54526944 54954048 109053888 109621877 219243754 328865631 438487508 657731262 876975016 1315462524 1753950032 2630925048 3507900064 5261850096 7015800128 10523700192 21047400384