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1664555640 = 2335111816967
BaseRepresentation
bin110001100110111…
…0001101001111000
311022000011012001220
41203031301221320
511402111240030
6433101112040
756151326616
oct14315615170
94260135056
101664555640
11784664320
123a5558620
13206b19487
1411b0da6b6
159b201a10
hex63371a78

1664555640 has 128 divisors (see below), whose sum is σ = 5478520320. Its totient is φ = 401241600.

The previous prime is 1664555611. The next prime is 1664555681. The reversal of 1664555640 is 465554661.

1664555640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1664555592 and 1664555601.

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, 235437 + ... + 242403.

It is an arithmetic number, because the mean of its divisors is an integer number (42800940).

Almost surely, 21664555640 is an apocalyptic number.

1664555640 is a gapful number since it is divisible by the number (10) 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 1664555640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739260160).

1664555640 is an abundant number, since it is smaller than the sum of its proper divisors (3813964680).

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

1664555640 is a wasteful number, since it uses less digits than its factorization.

1664555640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7173 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 1664555640 is about 40798.9661633723. The cubic root of 1664555640 is about 1185.1303102260.

The spelling of 1664555640 in words is "one billion, six hundred sixty-four million, five hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 220 264 330 362 440 543 660 724 905 1086 1320 1448 1810 1991 2172 2715 3620 3982 4344 5430 5973 6967 7240 7964 9955 10860 11946 13934 15928 19910 20901 21720 23892 27868 29865 34835 39820 41802 47784 55736 59730 69670 76637 79640 83604 104505 119460 139340 153274 167208 209010 229911 238920 278680 306548 383185 418020 459822 613096 766370 836040 919644 1149555 1261027 1532740 1839288 2299110 2522054 3065480 3783081 4598220 5044108 6305135 7566162 9196440 10088216 12610270 13871297 15132324 18915405 25220540 27742594 30264648 37830810 41613891 50441080 55485188 69356485 75661620 83227782 110970376 138712970 151323240 166455564 208069455 277425940 332911128 416138910 554851880 832277820 1664555640