Search a number
-
+
55034420540 = 225114159310289
BaseRepresentation
bin110011010000010011…
…101001110100111100
312021001102222020021212
4303100103221310330
51400202302424130
641141002343552
73655542566441
oct632023516474
9167042866255
1055034420540
112138154a790
12a7baababb8
135260a906a8
1429411d19c8
151671849e95
hexcd04e9d3c

55034420540 has 96 divisors (see below), whose sum is σ = 129384319680. Its totient is φ = 19489587200.

The previous prime is 55034420509. The next prime is 55034420543. The reversal of 55034420540 is 4502443055.

55034420540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55034420497 and 55034420506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55034420543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343716 + ... + 5354004.

It is an arithmetic number, because the mean of its divisors is an integer number (1347753330).

Almost surely, 255034420540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55034420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64692159840).

55034420540 is an abundant number, since it is smaller than the sum of its proper divisors (74349899140).

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

55034420540 is a wasteful number, since it uses less digits than its factorization.

55034420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 55034420540 its reverse (4502443055), we get a palindrome (59536863595).

It can be divided in two parts, 55034 and 420540, that added together give a palindrome (475574).

The spelling of 55034420540 in words is "fifty-five billion, thirty-four million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 593 820 902 1186 1804 2255 2372 2965 4510 5930 6523 9020 10289 11860 13046 20578 24313 26092 32615 41156 48626 51445 65230 97252 102890 113179 121565 130460 205780 226358 243130 267443 421849 452716 486260 534886 565895 843698 1069772 1131790 1337215 1687396 2109245 2263580 2674430 4218490 4640339 5348860 6101377 8436980 9280678 12202754 18561356 23201695 24405508 30506885 46403390 61013770 67115147 92806780 122027540 134230294 250156457 268460588 335575735 500312914 671151470 1000625828 1250782285 1342302940 2501564570 2751721027 5003129140 5503442054 11006884108 13758605135 27517210270 55034420540