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54530304000 = 2113531937101
BaseRepresentation
bin110010110010010000…
…100110100000000000
312012202022101110101220
4302302100212200000
51343134224212000
641014553355040
73640211636064
oct626220464000
9165668343356
1054530304000
1121142a31547
12a69a108a80
1351b04c6993
1428d4287aa4
15164246c1a0
hexcb2426800

54530304000 has 768 divisors, whose sum is σ = 198085305600. Its totient is φ = 13271040000.

The previous prime is 54530303999. The next prime is 54530304001. The reversal of 54530304000 is 40303545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54530303999) and next prime (54530304001).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (54530304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539903950 + ... + 539904050.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 254530304000 is an apocalyptic number.

54530304000 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 54530304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042652800).

54530304000 is an abundant number, since it is smaller than the sum of its proper divisors (143555001600).

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

54530304000 is a wasteful number, since it uses less digits than its factorization.

54530304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 54530304000 its reverse (40303545), we get a palindrome (54570607545).

The spelling of 54530304000 in words is "fifty-four billion, five hundred thirty million, three hundred four thousand".