Search a number
-
+
16483282212 = 223172323914699
BaseRepresentation
bin11110101100111101…
…01110110100100100
31120112202012111100210
433112132232310210
5232224210012322
611323341535420
71122320405235
oct172636566444
946482174323
1016483282212
116a99423991
123240274570
131728c36b37
14b2521508c
1566715a70c
hex3d67aed24

16483282212 has 96 divisors (see below), whose sum is σ = 42674688000. Its totient is φ = 4925358592.

The previous prime is 16483282147. The next prime is 16483282217. The reversal of 16483282212 is 21228238461.

It is a super-2 number, since 2×164832822122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16483282217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114039 + ... + 1128737.

It is an arithmetic number, because the mean of its divisors is an integer number (444528000).

Almost surely, 216483282212 is an apocalyptic number.

16483282212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16483282212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344000).

16483282212 is an abundant number, since it is smaller than the sum of its proper divisors (26191405788).

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

16483282212 is a wasteful number, since it uses less digits than its factorization.

16483282212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985 (or 14983 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The spelling of 16483282212 in words is "sixteen billion, four hundred eighty-three million, two hundred eighty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 239 276 391 478 717 782 956 1173 1434 1564 2346 2868 4063 4692 5497 8126 10994 12189 14699 16252 16491 21988 24378 29398 32982 44097 48756 58796 65964 88194 93449 176388 186898 249883 280347 338077 373796 499766 560694 676154 749649 999532 1014231 1121388 1352308 1499298 2028462 2998596 3513061 4056924 5747309 7026122 10539183 11494618 14052244 17241927 21078366 22989236 34483854 42156732 59722037 68967708 80800403 119444074 161600806 179166111 238888148 242401209 323201612 358332222 484802418 716664444 969604836 1373606851 2747213702 4120820553 5494427404 8241641106 16483282212