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21343307744 = 2511677011291
BaseRepresentation
bin10011111000001010…
…010000011111100000
32001002110012101001102
4103320022100133200
5322202341321434
613445513053532
71353623060003
oct237012203740
961073171042
1021343307744
119062817010
1241779b72a8
132021a96ba5
14106687b53a
1584db6307e
hex4f82907e0

21343307744 has 96 divisors (see below), whose sum is σ = 46626233472. Its totient is φ = 9535680000.

The previous prime is 21343307737. The next prime is 21343307771. The reversal of 21343307744 is 44770334312.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21343307698 and 21343307707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16531739 + ... + 16533029.

It is an arithmetic number, because the mean of its divisors is an integer number (485689932).

Almost surely, 221343307744 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 21343307744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313116736).

21343307744 is an abundant number, since it is smaller than the sum of its proper divisors (25282925728).

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

21343307744 is a wasteful number, since it uses less digits than its factorization.

21343307744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The spelling of 21343307744 in words is "twenty-one billion, three hundred forty-three million, three hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 701 737 1072 1291 1402 1474 2144 2582 2804 2948 5164 5608 5896 7711 10328 11216 11792 14201 15422 20656 22432 23584 28402 30844 41312 46967 56804 61688 86497 93934 113608 123376 172994 187868 227216 246752 345988 375736 454432 516637 691976 751472 904991 951467 1033274 1383952 1502944 1809982 1902934 2066548 2767904 3619964 3805868 4133096 7239928 7611736 8266192 9954901 14479856 15223472 16532384 19909802 28959712 30446944 39819604 60634397 79639208 121268794 159278416 242537588 318556832 485075176 666978367 970150352 1333956734 1940300704 2667913468 5335826936 10671653872 21343307744