Search a number
-
+
3833084014097 = 131758729547311
BaseRepresentation
bin110111110001110101100…
…111000110111000010001
3111120102212012211001211012
4313301311213012320101
51000300124001422342
612052521113100305
7543634252352522
oct67616547067021
914512765731735
103833084014097
111248668aa7988
1251aa640b7695
1321a5c5a90380
14d37450dc849
1569a9229bb82
hex37c759c6e11

3833084014097 has 16 divisors (see below), whose sum is σ = 4378202502912. Its totient is φ = 3324426942720.

The previous prime is 3833084014091. The next prime is 3833084014181. The reversal of 3833084014097 is 7904104803383.

It is not a de Polignac number, because 3833084014097 - 214 = 3833083997713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3833084014091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14643929 + ... + 14903382.

It is an arithmetic number, because the mean of its divisors is an integer number (273637656432).

Almost surely, 23833084014097 is an apocalyptic number.

It is an amenable number.

3833084014097 is a deficient number, since it is larger than the sum of its proper divisors (545118488815).

3833084014097 is a wasteful number, since it uses less digits than its factorization.

3833084014097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29547928.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 3833084014097 in words is "three trillion, eight hundred thirty-three billion, eighty-four million, fourteen thousand, ninety-seven".

Divisors: 1 13 17 221 587 7631 9979 129727 29547311 384115043 502304287 6529955731 17344271557 225475530241 294852616469 3833084014097