Search a number
-
+
50475777300 = 223252134314169
BaseRepresentation
bin101111000000100101…
…110011110100010100
311211021202002011101100
4233000211303310110
51311333244333200
635104355030100
73434560012404
oct570045636424
9154252064340
1050475777300
111a452295633
12994829b330
1349b54c3660
14262b9bc804
1514a6525d00
hexbc0973d14

50475777300 has 108 divisors (see below), whose sum is σ = 170383829980. Its totient is φ = 12424803840.

The previous prime is 50475777277. The next prime is 50475777301. The reversal of 50475777300 is 377757405.

50475777300 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 577 + 73 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18278499204 + 32197278096 = 135198^2 + 179436^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50475777301) 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 35 ways as a sum of consecutive naturals, for example, 2145385 + ... + 2168784.

Almost surely, 250475777300 is an apocalyptic number.

50475777300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50475777300 is an abundant number, since it is smaller than the sum of its proper divisors (119908052680).

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

50475777300 is a wasteful number, since it uses less digits than its factorization.

50475777300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314202 (or 4314192 counting only the distinct ones).

The product of its (nonzero) digits is 720300, while the sum is 45.

The spelling of 50475777300 in words is "fifty billion, four hundred seventy-five million, seven hundred seventy-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 4314169 8628338 12942507 17256676 21570845 25885014 38827521 43141690 51770028 56084197 64712535 77655042 86283380 107854225 112168394 129425070 155310084 168252591 194137605 215708450 224336788 258850140 280420985 323562675 336505182 388275210 431416900 504757773 560841970 647125350 673010364 776550420 841262955 970688025 1009515546 1121683940 1294250700 1402104925 1682525910 1941376050 2019031092 2523788865 2804209850 3365051820 3882752100 4206314775 5047577730 5608419700 8412629550 10095155460 12618944325 16825259100 25237888650 50475777300