Search a number
-
+
2361313152 = 273211316011
BaseRepresentation
bin1000110010111110…
…1100011110000000
320002120020010200200
42030233230132000
514313444010102
61030151045200
7112341554622
oct21457543600
96076203620
102361313152
111001999580
1255a970800
132b8291a23
1418586cc12
15dc48351c
hex8cbec780

2361313152 has 192 divisors, whose sum is σ = 7653035520. Its totient is φ = 692352000.

The previous prime is 2361313133. The next prime is 2361313153. The reversal of 2361313152 is 2513131632.

2361313152 is a `hidden beast` number, since 23 + 613 + 13 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361313153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389827 + ... + 395837.

It is an arithmetic number, because the mean of its divisors is an integer number (39859560).

Almost surely, 22361313152 is an apocalyptic number.

2361313152 is a gapful number since it is divisible by the number (22) 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 2361313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826517760).

2361313152 is an abundant number, since it is smaller than the sum of its proper divisors (5291722368).

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

2361313152 is a wasteful number, since it uses less digits than its factorization.

2361313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6058 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2361313152 is about 48593.3447294997. The cubic root of 2361313152 is about 1331.6329373007.

Adding to 2361313152 its reverse (2513131632), we get a palindrome (4874444784).

It can be divided in two parts, 2361 and 313152, that added together give a palindrome (315513).

The spelling of 2361313152 in words is "two billion, three hundred sixty-one million, three hundred thirteen thousand, one hundred fifty-two".