Search a number
-
+
415900380973 = 7211771614807
BaseRepresentation
bin1100000110101011001…
…10000010111100101101
31110202111210221102011211
412003111212002330231
523303230444142343
6515021220314421
742022253623600
oct6032546027455
91422453842154
10415900380973
11150422a16a20
1268730242a11
13302b08852ac
14161b5c02337
15ac427b279d
hex60d5982f2d

415900380973 has 12 divisors (see below), whose sum is σ = 527784528672. Its totient is φ = 324078218520.

The previous prime is 415900380949. The next prime is 415900380977. The reversal of 415900380973 is 379083009514.

It is not a de Polignac number, because 415900380973 - 217 = 415900249901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415900380977) by changing a digit.

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, 385806865 + ... + 385807942.

It is an arithmetic number, because the mean of its divisors is an integer number (43982044056).

Almost surely, 2415900380973 is an apocalyptic number.

It is an amenable number.

415900380973 is a deficient number, since it is larger than the sum of its proper divisors (111884147699).

415900380973 is a wasteful number, since it uses less digits than its factorization.

415900380973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771614832 (or 771614825 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 415900380973 in words is "four hundred fifteen billion, nine hundred million, three hundred eighty thousand, nine hundred seventy-three".

Divisors: 1 7 11 49 77 539 771614807 5401303649 8487762877 37809125543 59414340139 415900380973