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4664445000 = 233541492087
BaseRepresentation
bin1000101100000010…
…11100100001001000
3110001001222100122020
410112001130201020
534023044220000
62050503124440
7223406062005
oct42601344110
913031870566
104664445000
111a83a59626
12aa2143720
13594492537
143236b48ac
151c4772ba0
hex11605c848

4664445000 has 160 divisors (see below), whose sum is σ = 14676552000. Its totient is φ = 1234912000.

The previous prime is 4664444969. The next prime is 4664445007. The reversal of 4664445000 is 5444664.

It is not an unprimeable number, because it can be changed into a prime (4664445007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2233957 + ... + 2236043.

It is an arithmetic number, because the mean of its divisors is an integer number (91728450).

Almost surely, 24664445000 is an apocalyptic number.

4664445000 is a gapful number since it is divisible by the number (40) 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 4664445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338276000).

4664445000 is an abundant number, since it is smaller than the sum of its proper divisors (10012107000).

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

4664445000 is a wasteful number, since it uses less digits than its factorization.

4664445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4664445000 is about 68296.7422356294. The cubic root of 4664445000 is about 1670.8340820155.

Adding to 4664445000 its reverse (5444664), we get a palindrome (4669889664).

The spelling of 4664445000 in words is "four billion, six hundred sixty-four million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 149 150 200 250 298 300 375 447 500 596 600 625 745 750 894 1000 1192 1250 1490 1500 1788 1875 2087 2235 2500 2980 3000 3576 3725 3750 4174 4470 5000 5960 6261 7450 7500 8348 8940 10435 11175 12522 14900 15000 16696 17880 18625 20870 22350 25044 29800 31305 37250 41740 44700 50088 52175 55875 62610 74500 83480 89400 93125 104350 111750 125220 149000 156525 186250 208700 223500 250440 260875 279375 310963 313050 372500 417400 447000 521750 558750 621926 626100 745000 782625 932889 1043500 1117500 1243852 1252200 1304375 1554815 1565250 1865778 2087000 2235000 2487704 2608750 3109630 3130500 3731556 3913125 4664445 5217500 6219260 6261000 7463112 7774075 7826250 9328890 10435000 12438520 15548150 15652500 18657780 23322225 31096300 31305000 37315560 38870375 46644450 62192600 77740750 93288900 116611125 155481500 186577800 194351875 233222250 310963000 388703750 466444500 583055625 777407500 932889000 1166111250 1554815000 2332222500 4664445000