Search a number
-
+
3874586209641 = 32761501368407
BaseRepresentation
bin111000011000011111010…
…101011010110101101001
3111201101222120112001012200
4320120133111122311221
51001440123032202031
612123543233130413
7546633600244260
oct70303725326551
914641876461180
103874586209641
1112642259a5744
12526b070b9a09
132214ab123324
14d5760dc15d7
156abc0ab38e6
hex3861f55ad69

3874586209641 has 12 divisors (see below), whose sum is σ = 6396142314432. Its totient is φ = 2214049262616.

The previous prime is 3874586209633. The next prime is 3874586209643. The reversal of 3874586209641 is 1469026854783.

3874586209641 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 586 + 2 + 0 + 9 + 6 + 41 = 666.

It is not a de Polignac number, because 3874586209641 - 23 = 3874586209633 is a prime.

It is a super-2 number, since 2×38745862096412 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 61501368407 = 3874586209641 / (3 + 8 + 7 + 4 + 5 + 8 + 6 + 2 + 0 + 9 + 6 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (3874586209643) 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 11 ways as a sum of consecutive naturals, for example, 30750684141 + ... + 30750684266.

It is an arithmetic number, because the mean of its divisors is an integer number (533011859536).

It is a 1-persistent number, because it is pandigital, but 2⋅3874586209641 = 7749172419282 is not.

Almost surely, 23874586209641 is an apocalyptic number.

It is an amenable number.

3874586209641 is a deficient number, since it is larger than the sum of its proper divisors (2521556104791).

3874586209641 is a wasteful number, since it uses less digits than its factorization.

3874586209641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61501368420 (or 61501368417 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3874586209641 in words is "three trillion, eight hundred seventy-four billion, five hundred eighty-six million, two hundred nine thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 61501368407 184504105221 430509578849 553512315663 1291528736547 3874586209641