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16433384916 = 22313261313219
BaseRepresentation
bin11110100111000000…
…11000110111010100
31120102021022110010210
433103200120313110
5232123421304131
611314400245420
71121143316124
oct172340306724
946367273123
1016433384916
116a73243353
123227610870
13171b7b6400
14b1c746c84
15662aa1146
hex3d3818dd4

16433384916 has 72 divisors (see below), whose sum is σ = 41591917920. Its totient is φ = 5047795584.

The previous prime is 16433384897. The next prime is 16433384923. The reversal of 16433384916 is 61948333461.

16433384916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164333849162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236555 + ... + 1249773.

Almost surely, 216433384916 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 16433384916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795958960).

16433384916 is an abundant number, since it is smaller than the sum of its proper divisors (25158533004).

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

16433384916 is a wasteful number, since it uses less digits than its factorization.

16433384916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865 (or 13850 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 16433384916 in words is "sixteen billion, four hundred thirty-three million, three hundred eighty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 613 676 1014 1226 1839 2028 2452 3678 7356 7969 13219 15938 23907 26438 31876 39657 47814 52876 79314 95628 103597 158628 171847 207194 310791 343694 414388 515541 621582 687388 1031082 1243164 2062164 2234011 4468022 6702033 8103247 8936044 13404066 16206494 24309741 26808132 32412988 48619482 97238964 105342211 210684422 316026633 421368844 632053266 1264106532 1369448743 2738897486 4108346229 5477794972 8216692458 16433384916