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1666461006 = 2337171913649
BaseRepresentation
bin110001101010100…
…0010110101001110
311022010201222202000
41203111002311032
511403103223011
6433210013130
756203453620
oct14325026516
94263658660
101666461006
11785745901
123a61171a6
13207335802
1411b474c10
159b47b356
hex63542d4e

1666461006 has 128 divisors (see below), whose sum is σ = 4717440000. Its totient is φ = 424507392.

The previous prime is 1666460977. The next prime is 1666461029. The reversal of 1666461006 is 6001646661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115270 + ... + 128918.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 21666461006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1666461006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720000).

1666461006 is an abundant number, since it is smaller than the sum of its proper divisors (3050978994).

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

1666461006 is a wasteful number, since it uses less digits than its factorization.

1666461006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13703 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1666461006 is about 40822.3101502108. The cubic root of 1666461006 is about 1185.5823319541.

The spelling of 1666461006 in words is "one billion, six hundred sixty-six million, four hundred sixty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 51 54 57 63 102 114 119 126 133 153 171 189 238 266 306 323 342 357 378 399 459 513 646 714 798 918 969 1026 1071 1197 1938 2142 2261 2394 2907 3213 3591 4522 5814 6426 6783 7182 8721 13566 13649 17442 20349 27298 40698 40947 61047 81894 95543 122094 122841 191086 232033 245682 259331 286629 368523 464066 518662 573258 696099 737046 777993 859887 1392198 1555986 1624231 1719774 1815317 2088297 2333979 2579661 3248462 3630634 4176594 4408627 4667958 4872693 5159322 5445951 6264891 7001937 8817254 9745386 10891902 12529782 13225881 14003874 14618079 16337853 26451762 29236158 30860389 32675706 39677643 43854237 49013559 61720778 79355286 87708474 92581167 98027118 119032929 185162334 238065858 277743501 555487002 833230503 1666461006