Search a number
-
+
2012050144 = 251319833067
BaseRepresentation
bin111011111101101…
…0111001011100000
312012020000201220201
41313323113023200
513110041101034
6531353114544
7100601100256
oct16773271340
95166021821
102012050144
11942828065
124819b8a54
13260b06120
141513145d6
15bb993014
hex77ed72e0

2012050144 has 96 divisors (see below), whose sum is σ = 4546039680. Its totient is φ = 868879872.

The previous prime is 2012050141. The next prime is 2012050153. The reversal of 2012050144 is 4410502102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012050141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 654499 + ... + 657565.

It is an arithmetic number, because the mean of its divisors is an integer number (47354580).

Almost surely, 22012050144 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 2012050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273019840).

2012050144 is an abundant number, since it is smaller than the sum of its proper divisors (2533989536).

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

2012050144 is a wasteful number, since it uses less digits than its factorization.

2012050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2012050144 is about 44855.8819331423. The cubic root of 2012050144 is about 1262.4463566267.

Adding to 2012050144 its reverse (4410502102), we get a palindrome (6422552246).

The spelling of 2012050144 in words is "two billion, twelve million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 83 104 152 166 208 247 304 332 416 494 608 664 988 1079 1328 1577 1976 2158 2656 3067 3154 3952 4316 6134 6308 7904 8632 12268 12616 17264 20501 24536 25232 34528 39871 41002 49072 50464 58273 79742 82004 98144 116546 159484 164008 233092 254561 318968 328016 466184 509122 637936 656032 757549 932368 1018244 1275872 1515098 1864736 2036488 3030196 3309293 4072976 4836659 6060392 6618586 8145952 9673318 12120784 13237172 19346636 24241568 26474344 38693272 52948688 62876567 77386544 105897376 125753134 154773088 251506268 503012536 1006025072 2012050144