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1664315466 = 231123273653
BaseRepresentation
bin110001100110011…
…0111000001001010
311021222200222121120
41203030313001022
511402031043331
6433052020110
756146306452
oct14314670112
94258628546
101664315466
1178450a930
123a5461636
13206a64068
1411b076d62
159b1a5796
hex6333704a

1664315466 has 96 divisors (see below), whose sum is σ = 3853870272. Its totient is φ = 475073280.

The previous prime is 1664315447. The next prime is 1664315467. The reversal of 1664315466 is 6645134661.

It is not an unprimeable number, because it can be changed into a prime (1664315467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2548396 + ... + 2549048.

It is an arithmetic number, because the mean of its divisors is an integer number (40144482).

Almost surely, 21664315466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664315466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926935136).

1664315466 is an abundant number, since it is smaller than the sum of its proper divisors (2189554806).

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

1664315466 is a wasteful number, since it uses less digits than its factorization.

1664315466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 765 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 1664315466 is about 40796.0226737852. The cubic root of 1664315466 is about 1185.0733077902.

The spelling of 1664315466 in words is "one billion, six hundred sixty-four million, three hundred fifteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 73 138 146 219 253 438 506 529 653 759 803 1058 1306 1518 1587 1606 1679 1959 2409 3174 3358 3918 4818 5037 5819 7183 10074 11638 14366 15019 17457 18469 21549 30038 34914 36938 38617 43098 45057 47669 55407 77234 90114 95338 110814 115851 143007 165209 231702 286014 330418 345437 424787 495627 524359 690874 849574 991254 1036311 1048718 1096387 1274361 1573077 2072622 2192774 2548722 3146154 3289161 3799807 6578322 7599614 11399421 12060257 22798842 24120514 25216901 36180771 50433802 72361542 75650703 151301406 277385911 554771822 832157733 1664315466