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21344525334 = 232117310114621
BaseRepresentation
bin10011111000001110…
…111001110000010110
32001002112111020021100
4103320032321300112
5322203144302314
613445555130530
71353636320556
oct237016716026
961075436240
1021344525334
119063478890
1241782a3a46
132022102162
141066ab7166
1584dd03c09
hex4f83b9c16

21344525334 has 96 divisors (see below), whose sum is σ = 51651688608. Its totient is φ = 6315840000.

The previous prime is 21344525327. The next prime is 21344525353. The reversal of 21344525334 is 43352544312.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452544 + ... + 1467164.

It is an arithmetic number, because the mean of its divisors is an integer number (538038423).

Almost surely, 221344525334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21344525334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825844304).

21344525334 is an abundant number, since it is smaller than the sum of its proper divisors (30307163274).

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

21344525334 is a wasteful number, since it uses less digits than its factorization.

21344525334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14811 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 21344525334 in words is "twenty-one billion, three hundred forty-four million, five hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 101 146 198 202 219 303 438 606 657 803 909 1111 1314 1606 1818 2222 2409 3333 4818 6666 7227 7373 9999 14454 14621 14746 19998 22119 29242 43863 44238 66357 81103 87726 131589 132714 160831 162206 243309 263178 321662 482493 486618 729927 964986 1067333 1447479 1459854 1476721 2134666 2894958 2953442 3201999 4430163 6403998 8860326 9605997 11740663 13290489 16243931 19211994 23481326 26580978 32487862 35221989 48731793 70443978 97463586 105665967 107800633 146195379 211331934 215601266 292390758 323401899 646803798 970205697 1185806963 1940411394 2371613926 3557420889 7114841778 10672262667 21344525334