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3973149373 = 171549150881
BaseRepresentation
bin1110110011010001…
…0111001010111101
3101020220011220022111
43230310113022331
531114111234443
61454130214021
7200313132604
oct35464271275
911226156274
103973149373
111759814a26
1292a724311
134b41b007b
14299964a3b
15183c1e69d
hexecd172bd

3973149373 has 8 divisors (see below), whose sum is σ = 4209607800. Its totient is φ = 3736995840.

The previous prime is 3973149361. The next prime is 3973149463. The reversal of 3973149373 is 3739413793.

It is a happy number.

3973149373 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39601849 + 3933547524 = 6293^2 + 62718^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3973149373 - 221 = 3971052221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973149073) 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 7 ways as a sum of consecutive naturals, for example, 49108 + ... + 101773.

It is an arithmetic number, because the mean of its divisors is an integer number (526200975).

Almost surely, 23973149373 is an apocalyptic number.

It is an amenable number.

3973149373 is a deficient number, since it is larger than the sum of its proper divisors (236458427).

3973149373 is a wasteful number, since it uses less digits than its factorization.

3973149373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152447.

The product of its digits is 1285956, while the sum is 49.

The square root of 3973149373 is about 63032.9229292122. The cubic root of 3973149373 is about 1583.8411818553.

The spelling of 3973149373 in words is "three billion, nine hundred seventy-three million, one hundred forty-nine thousand, three hundred seventy-three".

Divisors: 1 17 1549 26333 150881 2564977 233714669 3973149373