Search a number
-
+
60124020000 = 253541191097
BaseRepresentation
bin110111111111101010…
…111011110100100000
312202012010221200012120
4313333222323310200
51441113222120000
643342014224240
74225633511022
oct677752736440
9182163850176
1060124020000
1123553495130
12b79b4b5080
135892360ac5
142ca5138012
15186d59e6a0
hexdffabbd20

60124020000 has 240 divisors, whose sum is σ = 215150154912. Its totient is φ = 14575360000.

The previous prime is 60124019941. The next prime is 60124020017. The reversal of 60124020000 is 2042106.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×601240200002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 614452 + ... + 705548.

Almost surely, 260124020000 is an apocalyptic number.

60124020000 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 60124020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575077456).

60124020000 is an abundant number, since it is smaller than the sum of its proper divisors (155026134912).

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

60124020000 is a wasteful number, since it uses less digits than its factorization.

60124020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91141 (or 91118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 60124020000 its reverse (2042106), we get a palindrome (60126062106).

The spelling of 60124020000 in words is "sixty billion, one hundred twenty-four million, twenty thousand".