Search a number
-
+
1290884836150 = 252713283710953
BaseRepresentation
bin10010110010001110101…
…110110110101100110110
311120101222222120011010001
4102302032232312230312
5132122213004224100
62425005130021514
7162156221030560
oct22621656665466
94511888504101
101290884836150
11458508922728
1218a22287789a
1394964824570
144669cb56330
15238a3a9ad6a
hex12c8ebb6b36

1290884836150 has 48 divisors (see below), whose sum is σ = 2955133296864. Its totient is φ = 408543770880.

The previous prime is 1290884836147. The next prime is 1290884836187. The reversal of 1290884836150 is 516384880921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1290884836091 and 1290884836100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 141850927 + ... + 141860026.

It is an arithmetic number, because the mean of its divisors is an integer number (61565277018).

Almost surely, 21290884836150 is an apocalyptic number.

1290884836150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1290884836150 is an abundant number, since it is smaller than the sum of its proper divisors (1664248460714).

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

1290884836150 is a wasteful number, since it uses less digits than its factorization.

1290884836150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283710985 (or 283710980 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 1290884836150 in words is "one trillion, two hundred ninety billion, eight hundred eighty-four million, eight hundred thirty-six thousand, one hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2275 4550 283710953 567421906 1418554765 1985976671 2837109530 3688242389 3971953342 7092773825 7376484778 9929883355 14185547650 18441211945 19859766710 25817696723 36882423890 49649416775 51635393446 92206059725 99298833550 129088483615 184412119450 258176967230 645442418075 1290884836150