Search a number
-
+
164341803000 = 2335358793323
BaseRepresentation
bin1001100100001110001…
…0001110011111111000
3120201012021002121000110
42121003202032133320
510143033000144000
6203255251104320
714605354163664
oct2310342163770
9521167077013
10164341803000
1163773733001
1227a258a20a0
131266093451b
147d503dd8a4
15441cc2c850
hex264388e7f8

164341803000 has 128 divisors (see below), whose sum is σ = 513625432320. Its totient is φ = 43749353600.

The previous prime is 164341802993. The next prime is 164341803049. The reversal of 164341803000 is 308143461.

164341803000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714339 + ... + 1807661.

It is an arithmetic number, because the mean of its divisors is an integer number (4012698690).

Almost surely, 2164341803000 is an apocalyptic number.

164341803000 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 164341803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256812716160).

164341803000 is an abundant number, since it is smaller than the sum of its proper divisors (349283629320).

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

164341803000 is a wasteful number, since it uses less digits than its factorization.

164341803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93934 (or 93920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 164341803000 its reverse (308143461), we get a palindrome (164649946461).

The spelling of 164341803000 in words is "one hundred sixty-four billion, three hundred forty-one million, eight hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 587 600 750 1000 1174 1500 1761 2348 2935 3000 3522 4696 5870 7044 8805 11740 14088 14675 17610 23480 29350 35220 44025 58700 70440 73375 88050 93323 117400 146750 176100 186646 220125 279969 293500 352200 373292 440250 466615 559938 587000 746584 880500 933230 1119876 1399845 1761000 1866460 2239752 2333075 2799690 3732920 4666150 5599380 6999225 9332300 11198760 11665375 13998450 18664600 23330750 27996900 34996125 46661500 54780601 55993800 69992250 93323000 109561202 139984500 164341803 219122404 273903005 279969000 328683606 438244808 547806010 657367212 821709015 1095612020 1314734424 1369515025 1643418030 2191224040 2739030050 3286836060 4108545075 5478060100 6573672120 6847575125 8217090150 10956120200 13695150250 16434180300 20542725375 27390300500 32868360600 41085450750 54780601000 82170901500 164341803000