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3335842892041 = 11217297672
BaseRepresentation
bin110000100010101111101…
…110110000100100001001
3102210220101121220212122021
4300202233232300210021
5414123301240021131
611032244242124441
7463002203511112
oct60425756604411
912726347825567
103335842892041
1110767a5390300
1245a613050721
131b27513a236a
14b7654477209
155bb8d97de11
hex308afbb0909

3335842892041 has 27 divisors (see below), whose sum is σ = 3895443051367. Its totient is φ = 2853904898240.

The previous prime is 3335842892033. The next prime is 3335842892117. The reversal of 3335842892041 is 1402982485333.

It is a happy number.

The square root of 3335842892041 is 1826429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2597109518025 + 738733374016 = 1611555^2 + 859496^2 .

It is not a de Polignac number, because 3335842892041 - 23 = 3335842892033 is a prime.

It is a super-2 number, since 2×33358428920412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3335842892041.

It is not an unprimeable number, because it can be changed into a prime (3335842892341) 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 26 ways as a sum of consecutive naturals, for example, 341537340 + ... + 341547106.

Almost surely, 23335842892041 is an apocalyptic number.

3335842892041 is the 1826429-th square number.

3335842892041 is the 913215-th centered octagonal number.

It is an amenable number.

3335842892041 is a deficient number, since it is larger than the sum of its proper divisors (559600159326).

3335842892041 is an frugal number, since it uses more digits than its factorization.

3335842892041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19590 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 3335842892041 in words is "three trillion, three hundred thirty-five billion, eight hundred forty-two million, eight hundred ninety-two thousand, forty-one".

Divisors: 1 11 17 121 187 289 2057 3179 9767 34969 107437 166039 1181807 1826429 2822663 20090719 31049293 95394289 341542223 1049337179 1621702913 11542708969 17838732043 27568949521 196226052473 303258444731 3335842892041