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21122957568 = 283311934597
BaseRepresentation
bin10011101011000001…
…101100000100000000
32000112002120102102210
4103223001230010000
5321224434120233
613412002142120
71345306114446
oct235301540400
960462512383
1021122957568
118a5a3a4729
124116051940
131cb8235c7b
1410454bcb96
15839639163
hex4eb06c100

21122957568 has 144 divisors (see below), whose sum is σ = 58344720896. Its totient is φ = 6777077760.

The previous prime is 21122957561. The next prime is 21122957579. The reversal of 21122957568 is 86575922112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21122957561) 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, 4592646 + ... + 4597242.

Almost surely, 221122957568 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 21122957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29172360448).

21122957568 is an abundant number, since it is smaller than the sum of its proper divisors (37221763328).

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

21122957568 is a wasteful number, since it uses less digits than its factorization.

21122957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4826 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 21122957568 in words is "twenty-one billion, one hundred twenty-two million, nine hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 193 248 256 372 384 386 496 579 744 768 772 992 1158 1488 1544 1984 2316 2976 3088 3968 4597 4632 5952 5983 6176 7936 9194 9264 11904 11966 12352 13791 17949 18388 18528 23808 23932 24704 27582 35898 36776 37056 47864 49408 55164 71796 73552 74112 95728 110328 142507 143592 147104 148224 191456 220656 285014 287184 294208 382912 427521 441312 570028 574368 588416 765824 855042 882624 887221 1140056 1148736 1176832 1531648 1710084 1765248 1774442 2280112 2297472 2661663 3420168 3530496 3548884 4560224 4594944 5323326 6840336 7097768 9120448 10646652 13680672 14195536 18240896 21293304 27361344 27503851 28391072 36481792 42586608 54722688 55007702 56782144 82511553 85173216 109445376 110015404 113564288 165023106 170346432 220030808 227128576 330046212 340692864 440061616 660092424 681385728 880123232 1320184848 1760246464 2640369696 3520492928 5280739392 7040985856 10561478784 21122957568