Search a number
-
+
1050793323840 = 263251389315349
BaseRepresentation
bin11110100101010000010…
…10011010110101000000
310201110021121000121211100
433102220022122311000
5114204011042330330
62122421111414400
7135626431611201
oct17225012326500
93643247017740
101050793323840
11375703489987
1214b798684400
13781214c1750
1438c042855a8
151c500ab5060
hexf4a829ad40

1050793323840 has 336 divisors, whose sum is σ = 3936059946000. Its totient is φ = 255749750784.

The previous prime is 1050793323809. The next prime is 1050793323859. The reversal of 1050793323840 is 483233970501.

1050793323840 is a `hidden beast` number, since 10 + 507 + 9 + 33 + 23 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 509933097216 + 540860226624 = 714096^2 + 735432^2 .

It is a super-2 number, since 2×10507933238402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3174486 + ... + 3489834.

It is an arithmetic number, because the mean of its divisors is an integer number (11714464125).

Almost surely, 21050793323840 is an apocalyptic number.

1050793323840 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 1050793323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968029973000).

1050793323840 is an abundant number, since it is smaller than the sum of its proper divisors (2885266622160).

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

1050793323840 is a wasteful number, since it uses less digits than its factorization.

1050793323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315474 (or 315461 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1050793323840 in words is "one trillion, fifty billion, seven hundred ninety-three million, three hundred twenty-three thousand, eight hundred forty".