Search a number
-
+
54437431050 = 2355219235813
BaseRepresentation
bin110010101100101110…
…010100011100001010
312012111211122000200000
4302230232110130022
51342441440243200
641001435023430
73635003346342
oct625456243412
9165454560600
1054437431050
11210a5568742
12a672b9ab76
1351971aa182
1428c5bcdd22
151639224300
hexcacb9470a

54437431050 has 144 divisors (see below), whose sum is σ = 159655510560. Its totient is φ = 13752555840.

The previous prime is 54437431039. The next prime is 54437431117. The reversal of 54437431050 is 5013473445.

54437431050 is a `hidden beast` number, since 544 + 3 + 7 + 4 + 3 + 105 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54437430996 and 54437431014.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 112944 + ... + 348756.

Almost surely, 254437431050 is an apocalyptic number.

54437431050 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 54437431050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827755280).

54437431050 is an abundant number, since it is smaller than the sum of its proper divisors (105218079510).

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

54437431050 is a wasteful number, since it uses less digits than its factorization.

54437431050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235859 (or 235842 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 54437431050 in words is "fifty-four billion, four hundred thirty-seven million, four hundred thirty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 243 270 285 342 405 450 475 486 513 570 675 810 855 950 1026 1215 1350 1425 1539 1710 2025 2430 2565 2850 3078 4050 4275 4617 5130 6075 7695 8550 9234 12150 12825 15390 23085 25650 38475 46170 76950 115425 230850 235813 471626 707439 1179065 1414878 2122317 2358130 3537195 4244634 4480447 5895325 6366951 7074390 8960894 10611585 11790650 12733902 13441341 17685975 19100853 21223170 22402235 26882682 31834755 35371950 38201706 40324023 44804470 53057925 57302559 63669510 67206705 80648046 95504265 106115850 112011175 114605118 120972069 134413410 159173775 191008530 201620115 224022350 241944138 286512795 318347550 336033525 362916207 403240230 477521325 573025590 604860345 672067050 725832414 955042650 1008100575 1088748621 1209720690 1432563975 1814581035 2016201150 2177497242 2865127950 3024301725 3629162070 5443743105 6048603450 9072905175 10887486210 18145810350 27218715525 54437431050