Search a number
-
+
5530000050 = 23252411931553
BaseRepresentation
bin1010010011001110…
…10001101010110010
3112021101200002221200
411021213101222302
542311140000200
62312423032030
7254016140061
oct51147215262
915241602850
105530000050
1123885a4983
1210a3b9b616
136a18b89a3
143a66261d8
15225748800
hex1499d1ab2

5530000050 has 144 divisors (see below), whose sum is σ = 15308348328. Its totient is φ = 1430323200.

The previous prime is 5530000043. The next prime is 5530000051. The reversal of 5530000050 is 500000355.

It can be written as a sum of positive squares in 12 ways, for example, as 827195121 + 4702804929 = 28761^2 + 68577^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5529999978 and 5530000032.

It is not an unprimeable number, because it can be changed into a prime (5530000051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3560074 + ... + 3561626.

Almost surely, 25530000050 is an apocalyptic number.

5530000050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5530000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654174164).

5530000050 is an abundant number, since it is smaller than the sum of its proper divisors (9778348278).

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

5530000050 is a wasteful number, since it uses less digits than its factorization.

5530000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5530000050 is about 74363.9701064971. The cubic root of 5530000050 is about 1768.3777629024.

The spelling of 5530000050 in words is "five billion, five hundred thirty million, fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 193 205 225 246 369 386 410 450 579 615 738 965 1025 1158 1230 1553 1737 1845 1930 2050 2895 3075 3106 3474 3690 4659 4825 5790 6150 7765 7913 8685 9225 9318 9650 13977 14475 15530 15826 17370 18450 23295 23739 27954 28950 38825 39565 43425 46590 47478 63673 69885 71217 77650 79130 86850 116475 118695 127346 139770 142434 191019 197825 232950 237390 299729 318365 349425 356085 382038 395650 573057 593475 599458 636730 698850 712170 899187 955095 1146114 1186950 1498645 1591825 1780425 1798374 1910190 2697561 2865285 2997290 3183650 3560850 4495935 4775475 5395122 5730570 7493225 8991870 9550950 12288889 13487805 14326425 14986450 22479675 24577778 26975610 28652850 36866667 44959350 61444445 67439025 73733334 110600001 122888890 134878050 184333335 221200002 307222225 368666670 553000005 614444450 921666675 1106000010 1843333350 2765000025 5530000050