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1982324916 = 223211131722651
BaseRepresentation
bin111011000100111…
…1110000010110100
312010011002112120100
41312021332002310
513024433344131
6524412034100
7100060324635
oct16611760264
95104075510
101982324916
11927a75060
12473a62930
132578c9230
1414b3b788c
15b90707e6
hex7627e0b4

1982324916 has 144 divisors (see below), whose sum is σ = 6233467968. Its totient is φ = 521856000.

The previous prime is 1982324873. The next prime is 1982324923. The reversal of 1982324916 is 6194232891.

1982324916 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19823249162 = 7859224145188814112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76191 + ... + 98841.

It is an arithmetic number, because the mean of its divisors is an integer number (43287972).

Almost surely, 21982324916 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 1982324916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116733984).

1982324916 is an abundant number, since it is smaller than the sum of its proper divisors (4251143052).

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

1982324916 is a wasteful number, since it uses less digits than its factorization.

1982324916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22702 (or 22697 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1982324916 is about 44523.3075590752. The cubic root of 1982324916 is about 1256.1985272145.

The spelling of 1982324916 in words is "one billion, nine hundred eighty-two million, three hundred twenty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4862 5148 6732 7293 7956 9724 14586 21879 22651 29172 43758 45302 67953 87516 90604 135906 203859 249161 271812 294463 385067 407718 498322 588926 747483 770134 815436 883389 996644 1155201 1177852 1494966 1540268 1766778 2242449 2310402 2650167 2989932 3239093 3465603 3533556 4235737 4484898 4620804 5005871 5300334 6478186 6931206 8471474 8969796 9717279 10011742 10600668 12707211 12956372 13862412 15017613 16942948 19434558 20023484 25414422 29151837 30035226 38121633 38869116 45052839 50828844 55064581 58303674 60070452 76243266 90105678 110129162 116607348 152486532 165193743 180211356 220258324 330387486 495581229 660774972 991162458 1982324916