Search a number
-
+
1052883824323 = 31832069197779
BaseRepresentation
bin11110101001001001100…
…01000010111011000011
310201122200021200001101011
433110210301002323003
5114222301224334243
62123404350221351
7136032304561612
oct17244461027303
93648607601334
101052883824323
11376586519931
121500807b4857
1378395634796
1438d61b7b879
151c5c43a289d
hexf524c42ec3

1052883824323 has 16 divisors (see below), whose sum is σ = 1100479564800. Its totient is φ = 1006152063840.

The previous prime is 1052883824303. The next prime is 1052883824381. The reversal of 1052883824323 is 3234283882501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1052883824323 is a prime.

It is a super-2 number, since 2×10528838243232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052883824303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5224648 + ... + 5422426.

It is an arithmetic number, because the mean of its divisors is an integer number (68779972800).

Almost surely, 21052883824323 is an apocalyptic number.

1052883824323 is a deficient number, since it is larger than the sum of its proper divisors (47595740477).

1052883824323 is a wasteful number, since it uses less digits than its factorization.

1052883824323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199962.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 1052883824323 in words is "one trillion, fifty-two billion, eight hundred eighty-three million, eight hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 31 83 2069 2573 64139 171727 197779 5323537 6131149 16415657 409204751 508885367 12685347281 33963994333 1052883824323