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8440648129 = 918732
BaseRepresentation
bin1111101110001101…
…00001000111000001
3210210020120100111101
413313012201013001
5114241301220004
63513320214401
7416111216404
oct76706410701
923706510441
108440648129
113641586961
12177690a401
13a46917264
145a100dd3b
1534603cba4
hex1f71a11c1

8440648129 has 3 divisors (see below), whose sum is σ = 8440740003. Its totient is φ = 8440556256.

The previous prime is 8440648109. The next prime is 8440648133. The reversal of 8440648129 is 9218460448.

The square root of 8440648129 is 91873.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8417145025 + 23503104 = 91745^2 + 4848^2 .

It is not a de Polignac number, because 8440648129 - 27 = 8440648001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8440648109) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 45937 + ... + 137809.

It is an arithmetic number, because the mean of its divisors is an integer number (2813580001).

Almost surely, 28440648129 is an apocalyptic number.

8440648129 is the 91873-rd square number.

8440648129 is the 45937-th centered octagonal number.

It is an amenable number.

8440648129 is a deficient number, since it is larger than the sum of its proper divisors (91874).

8440648129 is an frugal number, since it uses more digits than its factorization.

8440648129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183746 (or 91873 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The cubic root of 8440648129 is about 2036.0663761276.

The spelling of 8440648129 in words is "eight billion, four hundred forty million, six hundred forty-eight thousand, one hundred twenty-nine".

Divisors: 1 91873 8440648129