Search a number
-
+
3867083254914 = 2311733132564321
BaseRepresentation
bin111000010001100000000…
…111111010110010000010
3111200200121200101110020120
4320101200013322302002
51001324241303124124
612120302530521110
7546246633213555
oct70214007726202
914620550343216
103867083254914
111261025756810
12525572436196
1322088386c449
14d524c74069c
156a8d204ad79
hex384601fac82

3867083254914 has 64 divisors (see below), whose sum is σ = 8580180382848. Its totient is φ = 1152097689600.

The previous prime is 3867083254897. The next prime is 3867083254921. The reversal of 3867083254914 is 4194523807683.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225874 + ... + 2790194.

It is an arithmetic number, because the mean of its divisors is an integer number (134065318482).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3867083254914 = 7734166509828, but 3⋅3867083254914 = 11601249764742 is not.

Almost surely, 23867083254914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867083254914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290090191424).

3867083254914 is an abundant number, since it is smaller than the sum of its proper divisors (4713097127934).

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

3867083254914 is a wasteful number, since it uses less digits than its factorization.

3867083254914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564723.

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3867083254914 in words is "three trillion, eight hundred sixty-seven billion, eighty-three million, two hundred fifty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 313 438 626 803 939 1606 1878 2409 3443 4818 6886 10329 20658 22849 45698 68547 137094 251339 502678 754017 1508034 2564321 5128642 7692963 15385926 28207531 56415062 84622593 169245186 187195433 374390866 561586299 802632473 1123172598 1605264946 2059149763 2407897419 4118299526 4815794838 6177449289 8828957203 12354898578 17657914406 26486871609 52973743218 58592170529 117184341058 175776511587 351553023174 644513875819 1289027751638 1933541627457 3867083254914