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1669663072 = 257111933511
BaseRepresentation
bin110001110000101…
…0000100101100000
311022100202200011001
41203201100211200
511404413204242
6433402401344
756242621240
oct14341204540
94270680131
101669663072
11787532640
123a7200254
13207bb711c
1411ba69b20
159b8aeeb7
hex63850960

1669663072 has 96 divisors (see below), whose sum is σ = 4120671744. Its totient is φ = 646963200.

The previous prime is 1669663001. The next prime is 1669663087. The reversal of 1669663072 is 2703669661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473797 + ... + 477307.

It is an arithmetic number, because the mean of its divisors is an integer number (42923664).

Almost surely, 21669663072 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 1669663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060335872).

1669663072 is an abundant number, since it is smaller than the sum of its proper divisors (2451008672).

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

1669663072 is a wasteful number, since it uses less digits than its factorization.

1669663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 1669663072 is about 40861.5108873864. The cubic root of 1669663072 is about 1186.3412023877.

The spelling of 1669663072 in words is "one billion, six hundred sixty-nine million, six hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 193 224 308 352 386 616 772 1232 1351 1544 2123 2464 2702 3088 3511 4246 5404 6176 7022 8492 10808 14044 14861 16984 21616 24577 28088 29722 33968 38621 43232 49154 56176 59444 67936 77242 98308 112352 118888 154484 196616 237776 270347 308968 393232 475552 540694 617936 677623 786464 1081388 1235872 1355246 2162776 2710492 4325552 4743361 5420984 7453853 8651104 9486722 10841968 14907706 18973444 21683936 29815412 37946888 52176971 59630824 75893776 104353942 119261648 151787552 208707884 238523296 417415768 834831536 1669663072