Search a number
-
+
415016000415 = 3259222577787
BaseRepresentation
bin1100000101000001110…
…00011001101110011111
31110200020011211020010100
412002200320121232133
523244423044003130
6514353345112143
741661324540612
oct6024070315637
91420204736110
10415016000415
111500097927a5
1268524028653
133019c59a1a3
1416130590179
15abded1dc60
hex60a0e19b9f

415016000415 has 12 divisors (see below), whose sum is σ = 719361067464. Its totient is φ = 221341866864.

The previous prime is 415016000401. The next prime is 415016000447. The reversal of 415016000415 is 514000610514.

415016000415 is a `hidden beast` number, since 4 + 1 + 50 + 1 + 600 + 0 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 415016000415 - 29 = 415015999903 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4611288849 + ... + 4611288938.

It is an arithmetic number, because the mean of its divisors is an integer number (59946755622).

Almost surely, 2415016000415 is an apocalyptic number.

415016000415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

415016000415 is a deficient number, since it is larger than the sum of its proper divisors (304345067049).

415016000415 is a wasteful number, since it uses less digits than its factorization.

415016000415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222577798 (or 9222577795 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 415016000415 its reverse (514000610514), we get a palindrome (929016610929).

The spelling of 415016000415 in words is "four hundred fifteen billion, sixteen million, four hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 9222577787 27667733361 46112888935 83003200083 138338666805 415016000415