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54069120000000 = 21334577149
BaseRepresentation
bin11000100101100111100101…
…01100001110000000000000
321002102221211221022202220000
430102303302230032000000
524041332024210000000
6310555002200520000
714250236124634230
oct1422636254160000
9232387757282800
1054069120000000
111625664872a7a6
126092b5aa80000
132422908552aa1
14d4cd6072bcc0
1563b6ddd50000
hex312cf2b0e000

54069120000000 has 2240 divisors, whose sum is σ = 232305225609600. Its totient is φ = 12275712000000.

The previous prime is 54069119999893. The next prime is 54069120000037. The reversal of 54069120000000 is 2196045.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 362879999926 + ... + 362880000074.

Almost surely, 254069120000000 is an apocalyptic number.

54069120000000 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 54069120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116152612804800).

54069120000000 is an abundant number, since it is smaller than the sum of its proper divisors (178236105609600).

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

54069120000000 is an frugal number, since it uses more digits than its factorization.

54069120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 54069120000000 its reverse (2196045), we get a palindrome (54069122196045).

The spelling of 54069120000000 in words is "fifty-four trillion, sixty-nine billion, one hundred twenty million", and thus it is an aban number.