Search a number
-
+
54422824369 = 79229532
BaseRepresentation
bin110010101011110110…
…100110010110110001
312012110211010221001211
4302223312212112301
51342424220334434
641000154000121
73634435242304
oct625366462661
9165424127054
1054422824369
11210982a1501
12a66a116041
135194164874
1428c3caab3b
151637cdb464
hexcabda65b1

54422824369 has 9 divisors (see below), whose sum is σ = 55139113323. Its totient is φ = 53715731472.

The previous prime is 54422824361. The next prime is 54422824381. The reversal of 54422824369 is 96342822445.

The square root of 54422824369 is 233287.

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., 44324986225 + 10097838144 = 210535^2 + 100488^2 .

It is not a de Polignac number, because 54422824369 - 23 = 54422824361 is a prime.

It is a super-2 number, since 2×544228243692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54422824361) 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, 18428197 + ... + 18431149.

It is an arithmetic number, because the mean of its divisors is an integer number (6126568147).

Almost surely, 254422824369 is an apocalyptic number.

54422824369 is the 233287-th square number.

54422824369 is the 116644-th centered octagonal number.

It is an amenable number.

54422824369 is a deficient number, since it is larger than the sum of its proper divisors (716288954).

54422824369 is an frugal number, since it uses more digits than its factorization.

54422824369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 3032 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

Multiplying 54422824369 by its sum of digits (49), we get a square (2666718394081 = 16330092).

The spelling of 54422824369 in words is "fifty-four billion, four hundred twenty-two million, eight hundred twenty-four thousand, three hundred sixty-nine".

Divisors: 1 79 2953 6241 233287 8720209 18429673 688896511 54422824369