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21344203232 = 251129272101
BaseRepresentation
bin10011111000001101…
…101011000111100000
32001002111212212102122
4103320031223013200
5322203104000412
613445544203412
71353633506522
oct237015530740
961074785378
1021344203232
119063278890
124178169568
13202201b671
141066a31a12
1584dc8d572
hex4f836b1e0

21344203232 has 72 divisors (see below), whose sum is σ = 47477436552. Its totient is φ = 9367232000.

The previous prime is 21344203193. The next prime is 21344203247. The reversal of 21344203232 is 23230244312.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 259982 + ... + 332082.

It is an arithmetic number, because the mean of its divisors is an integer number (659408841).

Almost surely, 221344203232 is an apocalyptic number.

21344203232 is a gapful number since it is divisible by the number (22) 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 21344203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738718276).

21344203232 is an abundant number, since it is smaller than the sum of its proper divisors (26133233320).

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

21344203232 is a wasteful number, since it uses less digits than its factorization.

21344203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72180 (or 72143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 21344203232 its reverse (23230244312), we get a palindrome (44574447544).

The spelling of 21344203232 in words is "twenty-one billion, three hundred forty-four million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 841 928 1276 1682 2552 3364 5104 6728 9251 10208 13456 18502 26912 37004 72101 74008 144202 148016 288404 296032 576808 793111 1153616 1586222 2090929 2307232 3172444 4181858 6344888 8363716 12689776 16727432 23000219 25379552 33454864 46000438 60636941 66909728 92000876 121273882 184001752 242547764 368003504 485095528 667006351 736007008 970191056 1334012702 1940382112 2668025404 5336050808 10672101616 21344203232