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3672715121 = 293150589
BaseRepresentation
bin1101101011101001…
…0010111101110001
3100110221212020222222
43122322102331301
530010203340441
61404235010425
7160004364155
oct33272227561
910427766888
103672715121
111615174259
12865b99a15
13466b8c71a
1426babb065
15167676d4b
hexdae92f71

3672715121 has 8 divisors (see below), whose sum is σ = 3803903400. Its totient is φ = 3546046224.

The previous prime is 3672715099. The next prime is 3672715133. The reversal of 3672715121 is 1215172763.

It can be written as a sum of positive squares in 4 ways, for example, as 55294096 + 3617421025 = 7436^2 + 60145^2 .

It is not a de Polignac number, because 3672715121 - 214 = 3672698737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3672715021) 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, 50906 + ... + 99683.

It is an arithmetic number, because the mean of its divisors is an integer number (475487925).

Almost surely, 23672715121 is an apocalyptic number.

It is an amenable number.

3672715121 is a deficient number, since it is larger than the sum of its proper divisors (131188279).

3672715121 is an frugal number, since it uses more digits than its factorization.

3672715121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150676 (or 150618 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 3672715121 is about 60602.9299704230. The cubic root of 3672715121 is about 1542.8690991721.

Adding to 3672715121 its reverse (1215172763), we get a palindrome (4887887884).

The spelling of 3672715121 in words is "three billion, six hundred seventy-two million, seven hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 29 841 24389 150589 4367081 126645349 3672715121