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3833084218141 = 192233359269327
BaseRepresentation
bin110111110001110101100…
…111111000101100011101
3111120102212020012102201101
4313301311213320230131
51000300124024440031
612052521121313101
7543634254162433
oct67616547705435
914512766172641
103833084218141
111248669127212
1251aa64195791
1321a5c5b321c9
14d3745152d53
1569a922dc361
hex37c759f8b1d

3833084218141 has 16 divisors (see below), whose sum is σ = 4054140518400. Its totient is φ = 3613969245168.

The previous prime is 3833084218127. The next prime is 3833084218147. The reversal of 3833084218141 is 1418124803383.

It is a cyclic number.

It is not a de Polignac number, because 3833084218141 - 213 = 3833084209949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3833084218091 and 3833084218100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833084218147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14097420 + ... + 14366746.

It is an arithmetic number, because the mean of its divisors is an integer number (253383782400).

Almost surely, 23833084218141 is an apocalyptic number.

It is an amenable number.

3833084218141 is a deficient number, since it is larger than the sum of its proper divisors (221056300259).

3833084218141 is a wasteful number, since it uses less digits than its factorization.

3833084218141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272928.

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 3833084218141 in words is "three trillion, eight hundred thirty-three billion, eighty-four million, two hundred eighteen thousand, one hundred forty-one".

Divisors: 1 19 223 3359 4237 63821 269327 749057 5117213 14232083 60059921 904669393 1141138499 17188718467 201741274639 3833084218141