Search a number
-
+
21343223104 = 267174616079
BaseRepresentation
bin10011111000001001…
…111011110101000000
32001002110001001221121
4103320021323311000
5322202331114404
613445511202024
71353622255150
oct237011736500
961073031847
1021343223104
119062769465
124177976314
132021a674c8
141066858760
1584db47e54
hex4f827bd40

21343223104 has 112 divisors (see below), whose sum is σ = 51370260480. Its totient is φ = 8588943360.

The previous prime is 21343223093. The next prime is 21343223137. The reversal of 21343223104 is 40132234312.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3507937 + ... + 3514015.

It is an arithmetic number, because the mean of its divisors is an integer number (458663040).

Almost surely, 221343223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685130240).

21343223104 is an abundant number, since it is smaller than the sum of its proper divisors (30027037376).

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

21343223104 is a wasteful number, since it uses less digits than its factorization.

21343223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21343223104 its reverse (40132234312), we get a palindrome (61475457416).

The spelling of 21343223104 in words is "twenty-one billion, three hundred forty-three million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 461 476 544 922 952 1088 1844 1904 3227 3688 3808 6079 6454 7376 7616 7837 12158 12908 14752 15674 24316 25816 29504 31348 42553 48632 51632 54859 62696 85106 97264 103264 103343 109718 125392 170212 194528 206528 206686 219436 250784 340424 389056 413372 438872 501568 680848 723401 826744 877744 1361696 1446802 1653488 1755488 2723392 2802419 2893604 3306976 3510976 5604838 5787208 6613952 11209676 11574416 19616933 22419352 23148832 39233866 44838704 46297664 47641123 78467732 89677408 95282246 156935464 179354816 190564492 313870928 333487861 381128984 627741856 666975722 762257968 1255483712 1333951444 1524515936 2667902888 3049031872 5335805776 10671611552 21343223104