Search a number
-
+
52100424420000 = 253541134491453
BaseRepresentation
bin10111101100010100100110…
…10010100100101010100000
320211110202022011021020010220
423312022103102210222200
523312103132122420000
6302450334330123040
713655063041414605
oct1366122322445240
9224422264236126
1052100424420000
111566773636a000
125a154b2880480
13230c0836a8578
14cc19616386ac
156053b92611a0
hex2f62934a4aa0

52100424420000 has 960 divisors, whose sum is σ = 188525270102400. Its totient is φ = 12593602560000.

The previous prime is 52100424419971. The next prime is 52100424420059. The reversal of 52100424420000 is 2442400125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35857139274 + ... + 35857140726.

It is an arithmetic number, because the mean of its divisors is an integer number (196380489690).

Almost surely, 252100424420000 is an apocalyptic number.

52100424420000 is a gapful number since it is divisible by the number (50) 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 52100424420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94262635051200).

52100424420000 is an abundant number, since it is smaller than the sum of its proper divisors (136424845682400).

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

52100424420000 is a wasteful number, since it uses less digits than its factorization.

52100424420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 52100424420000 its reverse (2442400125), we get a palindrome (52102866820125).

The spelling of 52100424420000 in words is "fifty-two trillion, one hundred billion, four hundred twenty-four million, four hundred twenty thousand".