Search a number
-
+
55678065444 = 2234131092
BaseRepresentation
bin110011110110101010…
…111101101100100100
312022201022002210010000
4303312222331230210
51403012041043234
641324514101300
74010516514261
oct636652755444
9168638083100
1055678065444
11216818a8721
12a95a57a830
13533422ab71
1429a289a268
1516ad0d9899
hexcf6abdb24

55678065444 has 45 divisors (see below), whose sum is σ = 145564565377. Its totient is φ = 18557939376.

The previous prime is 55678065427. The next prime is 55678065467. The reversal of 55678065444 is 44456087655.

The square root of 55678065444 is 235962.

It is a perfect power (a square), and thus also a powerful number.

55678065444 is a `hidden beast` number, since 5 + 5 + 67 + 80 + 65 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21304905444 + 34373160000 = 145962^2 + 185400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4240762 + ... + 4253870.

Almost surely, 255678065444 is an apocalyptic number.

55678065444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55678065444 is the 235962-nd square number.

It is an amenable number.

55678065444 is an abundant number, since it is smaller than the sum of its proper divisors (89886499933).

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

55678065444 is an frugal number, since it uses more digits than its factorization.

55678065444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26234 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 55678065444 in words is "fifty-five billion, six hundred seventy-eight million, sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 13109 26218 39327 52436 78654 117981 157308 235962 353943 471924 707886 1061829 1415772 2123658 4247316 171845881 343691762 515537643 687383524 1031075286 1546612929 2062150572 3093225858 4639838787 6186451716 9279677574 13919516361 18559355148 27839032722 55678065444