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541212255012 = 22311135922723549
BaseRepresentation
bin1111110000000101100…
…00111010001100100100
31220201222000100011222210
413320002300322030210
532331400314130022
61052343544523420
754046513156332
oct7700260721444
91821860304883
10541212255012
11199588232690
1288a82a80570
133c0613c58a0
141c2a27d0b52
15e128c76a0c
hex7e02c3a324

541212255012 has 192 divisors, whose sum is σ = 1515459456000. Its totient is φ = 148160248320.

The previous prime is 541212254987. The next prime is 541212255019. The reversal of 541212255012 is 210552212145.

It is not an unprimeable number, because it can be changed into a prime (541212255019) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22970614 + ... + 22994162.

It is an arithmetic number, because the mean of its divisors is an integer number (7893018000).

Almost surely, 2541212255012 is an apocalyptic number.

541212255012 is a gapful number since it is divisible by the number (52) 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 541212255012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757729728000).

541212255012 is an abundant number, since it is smaller than the sum of its proper divisors (974247200988).

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

541212255012 is a wasteful number, since it uses less digits than its factorization.

541212255012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23866 (or 23864 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 541212255012 its reverse (210552212145), we get a palindrome (751764467157).

The spelling of 541212255012 in words is "five hundred forty-one billion, two hundred twelve million, two hundred fifty-five thousand, twelve".