Search a number
-
+
5379886889735 = 519477116970449
BaseRepresentation
bin100111001001001101000…
…1111110011101100000111
3201001022102120022122001012
41032102122033303230013
51201121002020432420
615235252542552435
71063453420021541
oct116223217635407
921038376278035
105379886889735
111794662994486
1272a7a929871b
13300423773a17
1414856061c691
1594e234a9dc5
hex4e49a3f3b07

5379886889735 has 32 divisors (see below), whose sum is σ = 7037985024000. Its totient is φ = 3934428664320.

The previous prime is 5379886889731. The next prime is 5379886889737.

5379886889735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5379886889735 - 22 = 5379886889731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5379886889731) 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 31 ways as a sum of consecutive naturals, for example, 8168210 + ... + 8802239.

It is an arithmetic number, because the mean of its divisors is an integer number (219937032000).

Almost surely, 25379886889735 is an apocalyptic number.

5379886889735 is a deficient number, since it is larger than the sum of its proper divisors (1658098134265).

5379886889735 is a wasteful number, since it uses less digits than its factorization.

5379886889735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970591.

The product of its digits is 21946982400, while the sum is 86.

The spelling of 5379886889735 in words is "five trillion, three hundred seventy-nine billion, eight hundred eighty-six million, eight hundred eighty-nine thousand, seven hundred thirty-five".

Divisors: 1 5 19 47 71 95 235 355 893 1349 3337 4465 6745 16685 63403 317015 16970449 84852245 322438531 797611103 1204901879 1612192655 3988055515 6024509395 15154610957 22893135701 56630388313 75773054785 114465678505 283151941565 1075977377947 5379886889735