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21443379552 = 2532713997603
BaseRepresentation
bin10011111110001000…
…000000000101100000
32001100102111112202200
4103332020000011200
5322404001121202
613503450013200
71356246501360
oct237610000540
961312445680
1021443379552
119104257491
1241a5417200
13203973428a
141075c8a9a0
1585782de1c
hex4fe200160

21443379552 has 144 divisors (see below), whose sum is σ = 69749971200. Its totient is φ = 6121495296.

The previous prime is 21443379533. The next prime is 21443379557. The reversal of 21443379552 is 25597334412.

It is a happy number.

21443379552 is a `hidden beast` number, since 21 + 4 + 4 + 3 + 3 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214433795522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21443379498 and 21443379507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21443379557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2816583 + ... + 2824185.

It is an arithmetic number, because the mean of its divisors is an integer number (484374800).

Almost surely, 221443379552 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 21443379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34874985600).

21443379552 is an abundant number, since it is smaller than the sum of its proper divisors (48306591648).

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

21443379552 is a wasteful number, since it uses less digits than its factorization.

21443379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9014 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 21443379552 in words is "twenty-one billion, four hundred forty-three million, three hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1399 2016 2798 4197 5596 7603 8394 9793 11192 12591 15206 16788 19586 22384 22809 25182 29379 30412 33576 39172 44768 45618 50364 53221 58758 60824 67152 68427 78344 88137 91236 100728 106442 117516 121648 134304 136854 156688 159663 176274 182472 201456 212884 235032 243296 273708 313376 319326 352548 364944 402912 425768 470064 478989 547416 638652 705096 729888 851536 940128 957978 1094832 1277304 1410192 1703072 1915956 2189664 2554608 2820384 3831912 5109216 7663824 10636597 15327648 21273194 31909791 42546388 63819582 74456179 85092776 95729373 127639164 148912358 170185552 191458746 223368537 255278328 297824716 340371104 382917492 446737074 510556656 595649432 670105611 765834984 893474148 1021113312 1191298864 1340211222 1531669968 1786948296 2382597728 2680422444 3063339936 3573896592 5360844888 7147793184 10721689776 21443379552