Search a number
-
+
3720473895609 = 38238132
BaseRepresentation
bin110110001000111101100…
…001100110001010111001
3111011200012020000100000000
4312020331201212022321
5441424012304124414
611525055003303213
7532536545216262
oct66107541461271
914150166010000
103720473895609
111204931581159
1250107721ab09
1320caba8b9a73
14cc101401969
1566ba0e75b09
hex3623d8662b9

3720473895609 has 27 divisors (see below), whose sum is σ = 5580661667503. Its totient is φ = 2480211772344.

The previous prime is 3720473895601. The next prime is 3720473895629. The reversal of 3720473895609 is 9065983740273.

The square root of 3720473895609 is 1928853.

It is a perfect power (a square), and thus also a powerful number.

3720473895609 is a `hidden beast` number, since 3 + 7 + 20 + 47 + 3 + 8 + 9 + 560 + 9 = 666.

3720473895609 is digitally balanced in base 2, 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 only one way, i.e., 1915137693225 + 1805336202384 = 1383885^2 + 1343628^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 3720473895609 - 23 = 3720473895601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3720473895601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156225187 + ... + 156248999.

Almost surely, 23720473895609 is an apocalyptic number.

3720473895609 is the 1928853-rd square number.

3720473895609 is the 964427-th centered octagonal number.

It is an amenable number.

3720473895609 is a deficient number, since it is larger than the sum of its proper divisors (1860187771894).

3720473895609 is an frugal number, since it uses more digits than its factorization.

3720473895609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47650 (or 23816 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3720473895609 in words is "three trillion, seven hundred twenty billion, four hundred seventy-three million, eight hundred ninety-five thousand, six hundred nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 23813 71439 214317 642951 1928853 5786559 17359677 52079031 156237093 567058969 1701176907 5103530721 15310592163 45931776489 137795329467 413385988401 1240157965203 3720473895609