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3682972193 = 37223744497
BaseRepresentation
bin1101101110000101…
…1011001000100001
3100111200011101001112
43123201123020201
530020320102233
61405242513105
7160160514155
oct33341331041
910450141045
103682972193
11161aa3a57a
12869505795
134690412b4
1426d1cb065
15168501048
hexdb85b221

3682972193 has 8 divisors (see below), whose sum is σ = 3784287912. Its totient is φ = 3581750016.

The previous prime is 3682972151. The next prime is 3682972199. The reversal of 3682972193 is 3912792863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2124933409 + 1558038784 = 46097^2 + 39472^2 .

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 3682972193 - 218 = 3682710049 is a prime.

It is a super-2 number, since 2×36829721932 = 27128568348822458498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3682972199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60521 + ... + 105017.

It is an arithmetic number, because the mean of its divisors is an integer number (473035989).

Almost surely, 23682972193 is an apocalyptic number.

It is an amenable number.

3682972193 is a deficient number, since it is larger than the sum of its proper divisors (101315719).

3682972193 is a wasteful number, since it uses less digits than its factorization.

3682972193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46771.

The product of its digits is 979776, while the sum is 50.

The square root of 3682972193 is about 60687.4961833160. The cubic root of 3682972193 is about 1544.3040602784.

The spelling of 3682972193 in words is "three billion, six hundred eighty-two million, nine hundred seventy-two thousand, one hundred ninety-three".

Divisors: 1 37 2237 44497 82769 1646389 99539789 3682972193