Search a number
-
+
1033164244650 = 235223539355529
BaseRepresentation
bin11110000100011010110…
…00110100011010101010
310122202202222210121111110
433002031120310122222
5113411410021312100
62110343515211150
7134433526115646
oct17021530643252
93582688717443
101033164244650
1136918731084a
12148298746ab6
1376572090945
1438010c0dc26
151bd1d079250
hexf08d6346aa

1033164244650 has 96 divisors (see below), whose sum is σ = 2674193304960. Its totient is φ = 263478138880.

The previous prime is 1033164244643. The next prime is 1033164244711. The reversal of 1033164244650 is 564424613301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1033164244599 and 1033164244608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578086 + ... + 18633614.

It is an arithmetic number, because the mean of its divisors is an integer number (27856180260).

Almost surely, 21033164244650 is an apocalyptic number.

1033164244650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033164244650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337096652480).

1033164244650 is an abundant number, since it is smaller than the sum of its proper divisors (1641029060310).

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

1033164244650 is a wasteful number, since it uses less digits than its factorization.

1033164244650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60960 (or 60955 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 1033164244650 its reverse (564424613301), we get a palindrome (1597588857951).

The spelling of 1033164244650 in words is "one trillion, thirty-three billion, one hundred sixty-four million, two hundred forty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 5393 10786 16179 26965 32358 53930 55529 80895 111058 124039 134825 161790 166587 248078 269650 277645 333174 372117 404475 555290 620195 744234 808950 832935 1240390 1277167 1388225 1665870 1860585 2554334 2776450 3100975 3721170 3831501 4164675 6201950 6385835 7663002 8329350 9302925 12771670 18605850 19157505 31929175 38315010 63858350 95787525 191575050 299467897 598935794 898403691 1497339485 1796807382 2994678970 4492018455 6887761631 7486697425 8984036910 13775523262 14973394850 20663284893 22460092275 34438808155 41326569786 44920184550 68877616310 103316424465 172194040775 206632848930 344388081550 516582122325 1033164244650