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163331564449 = 277214592
BaseRepresentation
bin1001100000011101010…
…0011110001110100001
3120121120212011011020211
42120013110132032201
510134000340030244
6203011122134121
714541336251044
oct2300724361641
9517525134224
10163331564449
11632a5456909
12277a34b1341
131252c551031
147c96188c5b
1543ae1c7934
hex260751e3a1

163331564449 has 9 divisors (see below), whose sum is σ = 164035767987. Its totient is φ = 162630376344.

The previous prime is 163331564437. The next prime is 163331564467. The reversal of 163331564449 is 944465133361.

The square root of 163331564449 is 404143.

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., 28151806225 + 135179758224 = 167785^2 + 367668^2 .

It is not a de Polignac number, because 163331564449 - 221 = 163329467297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163301564449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111946882 + ... + 111948340.

It is an arithmetic number, because the mean of its divisors is an integer number (18226196443).

Almost surely, 2163331564449 is an apocalyptic number.

163331564449 is the 404143-rd square number.

163331564449 is the 202072-nd centered octagonal number.

It is an amenable number.

163331564449 is a deficient number, since it is larger than the sum of its proper divisors (704203538).

163331564449 is an frugal number, since it uses more digits than its factorization.

163331564449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

Multiplying 163331564449 by its sum of digits (49), we get a square (8003246658001 = 28290012).

The spelling of 163331564449 in words is "one hundred sixty-three billion, three hundred thirty-one million, five hundred sixty-four thousand, four hundred forty-nine".

Divisors: 1 277 1459 76729 404143 2128681 111947611 589644637 163331564449