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666516416 = 26171514057
BaseRepresentation
bin100111101110100…
…011101111000000
31201110011112122012
4213232203233000
52331112011131
6150045432052
722342203356
oct4756435700
91643145565
10666516416
1131225a715
1216726b628
13a8117917
146473d7d6
153d7ab52b
hex27ba3bc0

666516416 has 56 divisors (see below), whose sum is σ = 1410041376. Its totient is φ = 311500800.

The previous prime is 666516401. The next prime is 666516457. The reversal of 666516416 is 614615666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162260 + ... + 166316.

Almost surely, 2666516416 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 666516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705020688).

666516416 is an abundant number, since it is smaller than the sum of its proper divisors (743524960).

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

666516416 is a wasteful number, since it uses less digits than its factorization.

666516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4227 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 666516416 is about 25816.9792191108. The cubic root of 666516416 is about 873.5148317817.

The spelling of 666516416 in words is "six hundred sixty-six million, five hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 151 272 302 544 604 1088 1208 2416 2567 4057 4832 5134 8114 9664 10268 16228 20536 32456 41072 64912 68969 82144 129824 137938 164288 259648 275876 551752 612607 1103504 1225214 2207008 2450428 4414016 4900856 9801712 10414319 19603424 20828638 39206848 41657276 83314552 166629104 333258208 666516416