Search a number
-
+
13893158283936 = 25329311031156139
BaseRepresentation
bin1100101000101100000011…
…0000111010101010100000
31211012011200002101102110120
43022023000300322222200
53310111142010041221
645314232342200240
72632514261634021
oct312130060725240
954164602342416
1013893158283936
114477067725a98
121684706723080
1379a171b7ac09
1436060a8d4c48
151915d62135c6
hexca2c0c3aaa0

13893158283936 has 192 divisors, whose sum is σ = 38982137241600. Its totient is φ = 4322899123200.

The previous prime is 13893158283877. The next prime is 13893158283989. The reversal of 13893158283936 is 63938285139831.

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 31 ways as a sum of consecutive naturals, for example, 88901355 + ... + 89057493.

It is an arithmetic number, because the mean of its divisors is an integer number (203031964800).

Almost surely, 213893158283936 is an apocalyptic number.

13893158283936 is a gapful number since it is divisible by the number (16) 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 13893158283936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491068620800).

13893158283936 is an abundant number, since it is smaller than the sum of its proper divisors (25088978957664).

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

13893158283936 is a wasteful number, since it uses less digits than its factorization.

13893158283936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157243 (or 157235 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 69.

The spelling of 13893158283936 in words is "thirteen trillion, eight hundred ninety-three billion, one hundred fifty-eight million, two hundred eighty-three thousand, nine hundred thirty-six".