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1664297712 = 243371150033
BaseRepresentation
bin110001100110011…
…0010101011110000
311021222200002021000
41203030302223300
511402030011322
6433051402000
756146203630
oct14314625360
94258602230
101664297712
117844a8560
123a5453300
13206a58c5c
1411b0706c0
159b1a03ac
hex63332af0

1664297712 has 160 divisors (see below), whose sum is σ = 5956047360. Its totient is φ = 432276480.

The previous prime is 1664297699. The next prime is 1664297731. The reversal of 1664297712 is 2177924661.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8248 + ... + 58280.

It is an arithmetic number, because the mean of its divisors is an integer number (37225296).

Almost surely, 21664297712 is an apocalyptic number.

1664297712 is a gapful number since it is divisible by the number (12) 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 1664297712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978023680).

1664297712 is an abundant number, since it is smaller than the sum of its proper divisors (4291749648).

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

1664297712 is a wasteful number, since it uses less digits than its factorization.

1664297712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50068 (or 50056 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1664297712 is about 40795.8050784636. The cubic root of 1664297712 is about 1185.0690938722.

The spelling of 1664297712 in words is "one billion, six hundred sixty-four million, two hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 50033 100066 150099 200132 300198 350231 400264 450297 550363 600396 700462 800528 900594 1050693 1100726 1200792 1350891 1400924 1651089 1801188 2101386 2201452 2401584 2701782 2801848 3152079 3302178 3602376 3852541 4202772 4402904 4953267 5403564 5603696 6304158 6604356 7204752 7705082 8405544 8805808 9456237 9906534 10807128 11557623 12608316 13208712 14859801 15410164 16811088 18912474 19813068 21614256 23115246 25216632 26417424 29719602 30820328 34672869 37824948 39626136 46230492 50433264 59439204 61640656 69345738 75649896 79252272 92460984 104018607 118878408 138691476 151299792 184921968 208037214 237756816 277382952 416074428 554765904 832148856 1664297712