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2666664064 = 27175920771
BaseRepresentation
bin1001111011110010…
…0001000010000000
320212211210120101201
42132330201002000
520430131222224
61120335510544
7123040161541
oct23674410200
96784716351
102666664064
1111492981a9
12625088454
1333661423c
141b42364c8
1510919ca44
hex9ef21080

2666664064 has 64 divisors (see below), whose sum is σ = 5720608800. Its totient is φ = 1233571840.

The previous prime is 2666664053. The next prime is 2666664071. The reversal of 2666664064 is 4604666662.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×26666640642 = 14222194460457992192, which contains 22 as substring.

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, 117999 + ... + 138769.

Almost surely, 22666664064 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 2666664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860304400).

2666664064 is an abundant number, since it is smaller than the sum of its proper divisors (3053944736).

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

2666664064 is a wasteful number, since it uses less digits than its factorization.

2666664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20861 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The square root of 2666664064 is about 51639.7527492144. The cubic root of 2666664064 is about 1386.7220975541.

The spelling of 2666664064 in words is "two billion, six hundred sixty-six million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 272 472 544 944 1003 1088 1888 2006 2176 3776 4012 7552 8024 16048 20771 32096 41542 64192 83084 128384 166168 332336 353107 664672 706214 1225489 1329344 1412428 2450978 2658688 2824856 4901956 5649712 9803912 11299424 19607824 20833313 22598848 39215648 41666626 45197696 78431296 83333252 156862592 166666504 333333008 666666016 1333332032 2666664064