Search a number
-
+
4085473970081 = 723147793171697
BaseRepresentation
bin111011011100111001001…
…110011000011110100001
3112110120022201001021012202
4323130321032120132201
51013414022314020311
612404501341502545
7601110565524140
oct73347116303641
915416281037182
104085473970081
111335704603469
1255b960b71a55
1323834902c2aa
14101a490b7757
1571414d05e3b
hex3b7393987a1

4085473970081 has 16 divisors (see below), whose sum is σ = 4872179368704. Its totient is φ = 3349538970624.

The previous prime is 4085473970041. The next prime is 4085473970087. The reversal of 4085473970081 is 1800793745804.

4085473970081 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4085473970081 is a prime.

It is a super-2 number, since 2×40854739700812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4085473969999 and 4085473970026.

It is not an unprimeable number, because it can be changed into a prime (4085473970087) 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, 23708825 + ... + 23880521.

It is an arithmetic number, because the mean of its divisors is an integer number (304511210544).

Almost surely, 24085473970081 is an apocalyptic number.

It is an amenable number.

4085473970081 is a deficient number, since it is larger than the sum of its proper divisors (786705398623).

4085473970081 is a wasteful number, since it uses less digits than its factorization.

4085473970081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319520.

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 4085473970081 in words is "four trillion, eighty-five billion, four hundred seventy-three million, nine hundred seventy thousand, eighty-one".

Divisors: 1 7 23 161 147793 171697 1034551 1201879 3399239 3949031 23794673 27643217 25375614721 177629303047 583639138583 4085473970081