Search a number
-
+
16218118458 = 23319151104683
BaseRepresentation
bin11110001101010110…
…01101100100111010
31112212021020210002000
433012223031210322
5231203314242313
611241150321430
71112620506123
oct170653154472
945767223060
1016218118458
116972783493
1231874b9276
1316b60153c9
14adbd0d04a
1564dc2d673
hex3c6acd93a

16218118458 has 64 divisors (see below), whose sum is σ = 38188723200. Its totient is φ = 5087545200.

The previous prime is 16218118457. The next prime is 16218118471. The reversal of 16218118458 is 85481181261.

16218118458 is a `hidden beast` number, since 1 + 6 + 2 + 181 + 18 + 458 = 666.

It is not an unprimeable number, because it can be changed into a prime (16218118451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 102585 + ... + 207267.

It is an arithmetic number, because the mean of its divisors is an integer number (596698800).

Almost surely, 216218118458 is an apocalyptic number.

16218118458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16218118458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094361600).

16218118458 is an abundant number, since it is smaller than the sum of its proper divisors (21970604742).

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

16218118458 is a wasteful number, since it uses less digits than its factorization.

16218118458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104864 (or 104858 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 16218118458 in words is "sixteen billion, two hundred eighteen million, one hundred eighteen thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 151 171 302 342 453 513 906 1026 1359 2718 2869 4077 5738 8154 8607 17214 25821 51642 77463 104683 154926 209366 314049 628098 942147 1884294 1988977 2826441 3977954 5652882 5966931 11933862 15807133 17900793 31614266 35801586 47421399 53702379 94842798 107404758 142264197 284528394 300335527 426792591 600671054 853585182 901006581 1802013162 2703019743 5406039486 8109059229 16218118458