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66214431162 = 23211716537213
BaseRepresentation
bin111101101010101100…
…000000100110111010
320022220121010121200100
4331222230000212322
52041101343244122
650230221020230
74532566243545
oct755254004672
9208817117610
1066214431162
1126099358190
12109bb0b4676
1363230939a9
1432c1d5d85c
151ac80e5aac
hexf6ab009ba

66214431162 has 96 divisors (see below), whose sum is σ = 158976245376. Its totient is φ = 19749340800.

The previous prime is 66214431109. The next prime is 66214431187. The reversal of 66214431162 is 26113441266.

66214431162 is a `hidden beast` number, since 6 + 6 + 214 + 431 + 1 + 6 + 2 = 666.

66214431162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9176268 + ... + 9183480.

It is an arithmetic number, because the mean of its divisors is an integer number (1656002556).

Almost surely, 266214431162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66214431162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79488122688).

66214431162 is an abundant number, since it is smaller than the sum of its proper divisors (92761814214).

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

66214431162 is a wasteful number, since it uses less digits than its factorization.

66214431162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7953 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 66214431162 in words is "sixty-six billion, two hundred fourteen million, four hundred thirty-one thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 653 781 1278 1306 1562 1959 2343 3918 4686 5877 7029 7183 7213 11754 14058 14366 14426 21549 21639 43098 43278 46363 64647 64917 79343 92726 129294 129834 139089 158686 238029 278178 417267 476058 509993 512123 714087 834534 1019986 1024246 1428174 1529979 1536369 3059958 3072738 4589937 4609107 4710089 5633353 9179874 9218214 9420178 11266706 14130267 16900059 28260534 33800118 42390801 50700177 51810979 84781602 101400354 103621958 155432937 310865874 334416319 466298811 668832638 932597622 1003248957 2006497914 3009746871 3678579509 6019493742 7357159018 11035738527 22071477054 33107215581 66214431162