Search a number
-
+
60324155136000 = 2113653761757
BaseRepresentation
bin11011011011101010011111…
…10101101001100000000000
321220120221012002110121000000
431231311033311221200000
530401322332203323000
6332144311224000000
715464163541222110
oct1555651765514000
9256527162417000
1060324155136000
111824836aa21618
126923285600000
13278770ab82c82
1410c79c1939040
156e9282b99000
hex36dd4fd69800

60324155136000 has 2688 divisors, whose sum is σ = 262512234391680. Its totient is φ = 13544423424000.

The previous prime is 60324155135971. The next prime is 60324155136017. The reversal of 60324155136000 is 63155142306.

60324155136000 is a `hidden beast` number, since 6 + 0 + 3 + 2 + 41 + 5 + 5 + 1 + 3 + 600 + 0 = 666.

60324155136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 79688447622 + ... + 79688448378.

It is an arithmetic number, because the mean of its divisors is an integer number (97660801485).

Almost surely, 260324155136000 is an apocalyptic number.

60324155136000 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 60324155136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131256117195840).

60324155136000 is an abundant number, since it is smaller than the sum of its proper divisors (202188079255680).

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

60324155136000 is an frugal number, since it uses more digits than its factorization.

60324155136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 60324155136000 in words is "sixty trillion, three hundred twenty-four billion, one hundred fifty-five million, one hundred thirty-six thousand".