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54443434446 = 23415113731621
BaseRepresentation
bin110010101101000101…
…001110000111001110
312012112020221000210000
4302231011032013032
51343000004400241
641002211425130
73635105362062
oct625505160716
9165466830700
1054443434446
11210a8999125
12a674bb51a6
1351984cc88b
1428c6913aa2
151639a0ceb6
hexcad14e1ce

54443434446 has 80 divisors (see below), whose sum is σ = 122966778528. Its totient is φ = 18003384000.

The previous prime is 54443434433. The next prime is 54443434471. The reversal of 54443434446 is 64443434445.

54443434446 is a `hidden beast` number, since 544 + 4 + 34 + 34 + 4 + 46 = 666.

54443434446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33585516 + ... + 33587136.

Almost surely, 254443434446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54443434446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61483389264).

54443434446 is an abundant number, since it is smaller than the sum of its proper divisors (68523344082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54443434446 is a wasteful number, since it uses less digits than its factorization.

54443434446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3150 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 45.

Subtracting 54443434446 from its reverse (64443434445), we obtain a palindrome (9999999999).

The spelling of 54443434446 in words is "fifty-four billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 302 453 906 1359 1373 1621 2718 2746 3242 4077 4119 4863 8154 8238 9726 12231 12357 14589 24462 24714 29178 37071 43767 74142 87534 111213 131301 207323 222426 244771 262602 414646 489542 621969 734313 1243938 1468626 1865907 2202939 2225633 3731814 4405878 4451266 5597721 6608817 6676899 11195442 13217634 13353798 16793163 19826451 20030697 33586326 39652902 40061394 60092091 120184182 180276273 336070583 360552546 672141166 1008211749 2016423498 3024635247 6049270494 9073905741 18147811482 27221717223 54443434446