Search a number
-
+
638468000449 = 19197571298733
BaseRepresentation
bin10010100101001111010…
…10001000101011000001
32021000222221011221200121
421102213222020223001
540430040302003244
61205150321020241
764061555313556
oct11224752105301
92230887157617
10638468000449
112268555a5704
12a38a5784681
13482904c5656
1422c8b1bca2d
151191c0d8c84
hex94a7a88ac1

638468000449 has 16 divisors (see below), whose sum is σ = 676668358080. Its totient is φ = 600738102720.

The previous prime is 638468000399. The next prime is 638468000477. The reversal of 638468000449 is 944000864836.

It is a happy number.

It is not a de Polignac number, because 638468000449 - 211 = 638467998401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 638468000396 and 638468000405.

It is not an unprimeable number, because it can be changed into a prime (638468000549) 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 15 ways as a sum of consecutive naturals, for example, 1987887 + ... + 2286619.

It is an arithmetic number, because the mean of its divisors is an integer number (42291772380).

It is the magic constant of a 10849 × 10849 magic square.

Almost surely, 2638468000449 is an apocalyptic number.

It is an amenable number.

638468000449 is a deficient number, since it is larger than the sum of its proper divisors (38200357631).

638468000449 is a wasteful number, since it uses less digits than its factorization.

638468000449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299520.

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 638468000449 in words is "six hundred thirty-eight billion, four hundred sixty-eight million, four hundred forty-nine", and thus it is an aban number.

Divisors: 1 19 197 571 3743 10849 112487 298733 2137253 5675927 58850401 170576543 1118157619 3240954317 33603578971 638468000449