Search a number
-
+
1050000605000 = 2354621133811
BaseRepresentation
bin11110100011110001110…
…10011011111101001000
310201101020100101100000022
433101320322123331020
5114200400123330000
62122210313000012
7135600664611434
oct17217072337510
93641210340008
101050000605000
11375336a71546
1214b5b70b3008
13780261baa49
1438b6ac939c4
151c4a61ca585
hexf478e9bf48

1050000605000 has 80 divisors (see below), whose sum is σ = 2460620286960. Its totient is φ = 419920200000.

The previous prime is 1050000604997. The next prime is 1050000605009. The reversal of 1050000605000 is 5060000501.

It is a super-2 number, since 2×10500006050002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050000605000.

It is not an unprimeable number, because it can be changed into a prime (1050000605009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31038095 + ... + 31071905.

It is an arithmetic number, because the mean of its divisors is an integer number (30757753587).

Almost surely, 21050000605000 is an apocalyptic number.

1050000605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050000605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230310143480).

1050000605000 is an abundant number, since it is smaller than the sum of its proper divisors (1410619681960).

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

1050000605000 is an equidigital number, since it uses as much as digits as its factorization.

1050000605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40048 (or 40029 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 1050000605000 its reverse (5060000501), we get a palindrome (1055060605501).

The spelling of 1050000605000 in words is "one trillion, fifty billion, six hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 6211 12422 24844 31055 33811 49688 62110 67622 124220 135244 155275 169055 248440 270488 310550 338110 621100 676220 776375 845275 1242200 1352440 1552750 1690550 3105500 3381100 3881875 4226375 6211000 6762200 7763750 8452750 15527500 16905500 21131875 31055000 33811000 42263750 84527500 169055000 210000121 420000242 840000484 1050000605 1680000968 2100001210 4200002420 5250003025 8400004840 10500006050 21000012100 26250015125 42000024200 52500030250 105000060500 131250075625 210000121000 262500151250 525000302500 1050000605000