Search a number
-
+
61814250000 = 24325683331
BaseRepresentation
bin111001100100011010…
…101001101000010000
312220112221102020212200
4321210122221220100
52003043422000000
644221433523200
74315546312206
oct714432515020
9186487366780
1061814250000
1124240594a28
12bb91573500
135aa15993b9
142dc57d9076
15191bb73500
hexe646a9a10

61814250000 has 420 divisors, whose sum is σ = 219506252784. Its totient is φ = 16236000000.

The previous prime is 61814249989. The next prime is 61814250007. The reversal of 61814250000 is 5241816.

61814250000 is a `hidden beast` number, since 6 + 18 + 142 + 500 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61814250007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 186749835 + ... + 186750165.

Almost surely, 261814250000 is an apocalyptic number.

61814250000 is a gapful number since it is divisible by the number (60) 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 61814250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109753126392).

61814250000 is an abundant number, since it is smaller than the sum of its proper divisors (157692002784).

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

61814250000 is an equidigital number, since it uses as much as digits as its factorization.

61814250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 61814250000 its reverse (5241816), we get a palindrome (61819491816).

The spelling of 61814250000 in words is "sixty-one billion, eight hundred fourteen million, two hundred fifty thousand".