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41122410021066 = 23111018217513981
BaseRepresentation
bin10010101100110100011101…
…01001000100000011001010
312101121021010110101210200110
421112122032221010003022
520342222143431133231
6223243212510215150
711442665440566453
oct1126321651040312
9171537113353613
1041122410021066
1112114a09441630
12474196bab44b6
1319c3a9913461a
14a22499d7612a
154b4a4ccde046
hex25668ea440ca

41122410021066 has 64 divisors (see below), whose sum is σ = 90720332180352. Its totient is φ = 12322927200000.

The previous prime is 41122410021061. The next prime is 41122410021101. The reversal of 41122410021066 is 66012001422114.

It is not an unprimeable number, because it can be changed into a prime (41122410021061) 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 31 ways as a sum of consecutive naturals, for example, 1715796 + ... + 9229776.

It is an arithmetic number, because the mean of its divisors is an integer number (1417505190318).

Almost surely, 241122410021066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41122410021066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360166090176).

41122410021066 is an abundant number, since it is smaller than the sum of its proper divisors (49597922159286).

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

41122410021066 is a wasteful number, since it uses less digits than its factorization.

41122410021066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514919.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 41122410021066 in words is "forty-one trillion, one hundred twenty-two billion, four hundred ten million, twenty-one thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 821 1111 1642 2222 2463 3333 4926 6666 9031 18062 27093 54186 82921 165842 248763 497526 912131 1824262 2736393 5472786 7513981 15027962 22541943 45083886 82653791 165307582 247961373 495922746 758912081 1517824162 2276736243 4553472486 6168978401 8348032891 12337956802 16696065782 18506935203 25044098673 37013870406 50088197346 67858762411 135717524822 203576287233 407152574466 623066818501 1246133637002 1869200455503 3738400911006 6853735003511 13707470007022 20561205010533 41122410021066