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16730421444 = 223211236130113
BaseRepresentation
bin11111001010011010…
…11111100011000100
31121011222020110122200
433211031133203010
5233230441441234
611404050554500
71131411143622
oct174515374304
947158213580
1016730421444
117105983290
1232aab98a30
1317681b7379
14b49d88512
1567dbc6d99
hex3e535f8c4

16730421444 has 144 divisors (see below), whose sum is σ = 48932118144. Its totient is φ = 4769740800.

The previous prime is 16730421391. The next prime is 16730421457. The reversal of 16730421444 is 44412403761.

16730421444 is a `hidden beast` number, since 167 + 30 + 4 + 21 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16730421399 and 16730421408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540532 + ... + 570644.

It is an arithmetic number, because the mean of its divisors is an integer number (339806376).

Almost surely, 216730421444 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 16730421444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466059072).

16730421444 is an abundant number, since it is smaller than the sum of its proper divisors (32201696700).

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

16730421444 is a wasteful number, since it uses less digits than its factorization.

16730421444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30218 (or 30213 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 16730421444 in words is "sixteen billion, seven hundred thirty million, four hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 61 66 69 92 99 122 132 138 183 198 207 244 253 276 366 396 414 506 549 671 732 759 828 1012 1098 1342 1403 1518 2013 2196 2277 2684 2806 3036 4026 4209 4554 5612 6039 8052 8418 9108 12078 12627 15433 16836 24156 25254 30113 30866 46299 50508 60226 61732 90339 92598 120452 138897 180678 185196 271017 277794 331243 361356 542034 555588 662486 692599 993729 1084068 1324972 1385198 1836893 1987458 2077797 2770396 2981187 3673786 3974916 4155594 5510679 5962374 6233391 7347572 7618589 8311188 11021358 11924748 12466782 15237178 16532037 20205823 22042716 22855767 24933564 30474356 33064074 40411646 42248539 45711534 60617469 66128148 68567301 80823292 84497078 91423068 121234938 126745617 137134602 168994156 181852407 242469876 253491234 274269204 363704814 380236851 464733929 506982468 727409628 760473702 929467858 1394201787 1520947404 1858935716 2788403574 4182605361 5576807148 8365210722 16730421444