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21344626000 = 245344324091
BaseRepresentation
bin10011111000001111…
…010010010101010000
32001002112200100100201
4103320033102111100
5322203211013000
613450001224544
71353640220215
oct237017222520
961075610321
1021344626000
119063537485
124178332154
132022138c19
141066b01b0c
1584dd2396a
hex4f83d2550

21344626000 has 80 divisors (see below), whose sum is σ = 51729956928. Its totient is φ = 8518224000.

The previous prime is 21344625959. The next prime is 21344626003. The reversal of 21344626000 is 62644312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21344626000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344626003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873955 + ... + 898045.

Almost surely, 221344626000 is an apocalyptic number.

21344626000 is a gapful number since it is divisible by the number (20) 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 21344626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25864978464).

21344626000 is an abundant number, since it is smaller than the sum of its proper divisors (30385330928).

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

21344626000 is a wasteful number, since it uses less digits than its factorization.

21344626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24557 (or 24541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 21344626000 in words is "twenty-one billion, three hundred forty-four million, six hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 443 500 886 1000 1772 2000 2215 3544 4430 7088 8860 11075 17720 22150 24091 35440 44300 48182 55375 88600 96364 110750 120455 177200 192728 221500 240910 385456 443000 481820 602275 886000 963640 1204550 1927280 2409100 3011375 4818200 6022750 9636400 10672313 12045500 21344626 24091000 42689252 48182000 53361565 85378504 106723130 170757008 213446260 266807825 426892520 533615650 853785040 1067231300 1334039125 2134462600 2668078250 4268925200 5336156500 10672313000 21344626000