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411112426112 = 2747251272257
BaseRepresentation
bin1011111101110000011…
…01011100101010000000
31110022011010120002212022
411332320031130222000
523213424240113422
6512510142021012
741462514651533
oct5767015345200
91408133502768
10411112426112
11149396279633
1267814877768
132c9c993a3cb
1415c7dd7aa1a
15aa62294342
hex5fb835ca80

411112426112 has 64 divisors (see below), whose sum is σ = 839774355840. Its totient is φ = 200380416000.

The previous prime is 411112426111. The next prime is 411112426121. The reversal of 411112426112 is 211624211114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (411112426111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373888 + ... + 1646144.

It is an arithmetic number, because the mean of its divisors is an integer number (13121474310).

Almost surely, 2411112426112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411112426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419887177920).

411112426112 is an abundant number, since it is smaller than the sum of its proper divisors (428661929728).

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

411112426112 is a wasteful number, since it uses less digits than its factorization.

411112426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272569 (or 272557 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

Adding to 411112426112 its reverse (211624211114), we get a palindrome (622736637226).

The spelling of 411112426112 in words is "four hundred eleven billion, one hundred twelve million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 251 376 502 752 1004 1504 2008 3008 4016 6016 8032 11797 16064 23594 32128 47188 94376 188752 272257 377504 544514 755008 1089028 1510016 2178056 4356112 8712224 12796079 17424448 25592158 34848896 51184316 68336507 102368632 136673014 204737264 273346028 409474528 546692056 818949056 1093384112 1637898112 2186768224 3211815829 4373536448 6423631658 8747072896 12847263316 25694526632 51389053264 102778106528 205556213056 411112426112