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80016002641 = 191214812
BaseRepresentation
bin100101010000101010…
…0110100111001010001
321122112110020002111101
41022201110310321101
52302333044041031
6100431524344401
75531604541351
oct1124124647121
9248473202441
1080016002641
1130a30a47103
1213611245101
137712548933
143c30d42b61
152134ad0361
hex12a1534e51

80016002641 has 9 divisors (see below), whose sum is σ = 80491477339. Its totient is φ = 79543325200.

The previous prime is 80016002629. The next prime is 80016002683. The reversal of 80016002641 is 14620061008.

The square root of 80016002641 is 282871.

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

It can be written as a sum of positive squares in only one way, i.e., 34254236241 + 45761766400 = 185079^2 + 213920^2 .

It is not a de Polignac number, because 80016002641 - 223 = 80007614033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80016008641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54027621 + ... + 54029101.

Almost surely, 280016002641 is an apocalyptic number.

80016002641 is the 282871-st square number.

80016002641 is the 141436-th centered octagonal number.

It is an amenable number.

80016002641 is a deficient number, since it is larger than the sum of its proper divisors (475474698).

80016002641 is an frugal number, since it uses more digits than its factorization.

80016002641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 80016002641 by its product of nonzero digits (2304), we get a square (184356870084864 = 135778082).

Adding to 80016002641 its reverse (14620061008), we get a palindrome (94636063649).

The spelling of 80016002641 in words is "eighty billion, sixteen million, two thousand, six hundred forty-one".

Divisors: 1 191 1481 36481 282871 2193361 54028361 418931951 80016002641