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1664066268 = 2234371271093
BaseRepresentation
bin110001100101111…
…1010001011011100
311021222020022210000
41203023322023130
511402000110033
6433042414300
756144221104
oct14313721334
94258208700
101664066268
1178435a687
123a5361390
132069a77c7
1411b010204
159b156a13
hex632fa2dc

1664066268 has 120 divisors (see below), whose sum is σ = 4507069952. Its totient is φ = 534957696.

The previous prime is 1664066207. The next prime is 1664066273. The reversal of 1664066268 is 8626604661.

1664066268 is a `hidden beast` number, since 16 + 6 + 4 + 0 + 6 + 626 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1521930 + ... + 1523022.

Almost surely, 21664066268 is an apocalyptic number.

1664066268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664066268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253534976).

1664066268 is an abundant number, since it is smaller than the sum of its proper divisors (2843003684).

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

1664066268 is a wasteful number, since it uses less digits than its factorization.

1664066268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1664066268 is about 40792.9683646581. The cubic root of 1664066268 is about 1185.0141578184.

The spelling of 1664066268 in words is "one billion, six hundred sixty-four million, sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 127 148 162 222 254 324 333 381 444 508 666 762 999 1093 1143 1332 1524 1998 2186 2286 2997 3279 3429 3996 4372 4572 4699 5994 6558 6858 9398 9837 10287 11988 13116 13716 14097 18796 19674 20574 28194 29511 39348 40441 41148 42291 56388 59022 80882 84582 88533 118044 121323 126873 138811 161764 169164 177066 242646 253746 277622 354132 363969 380619 416433 485292 507492 555244 727938 761238 832866 1091907 1249299 1455876 1522476 1665732 2183814 2498598 3275721 3747897 4367628 4997196 5136007 6551442 7495794 10272014 11243691 13102884 14991588 15408021 20544028 22487382 30816042 44974764 46224063 61632084 92448126 138672189 184896252 277344378 416016567 554688756 832033134 1664066268