Search a number
-
+
85000000000000 = 21251317
BaseRepresentation
bin10011010100111010011010…
…110011100101000000000000
3102010221220212010222011001011
4103110322122303211000000
542120120000000000000
6500440243321050304
723622022144642501
oct2324723263450000
9363856763864034
1085000000000000
11250a13300666a8
1296496a0026994
133857608c26487
1416dc04433aba8
159c60a215a2ba
hex4d4e9ace5000

85000000000000 has 364 divisors, whose sum is σ = 224972534142828. Its totient is φ = 32000000000000.

The previous prime is 84999999999977. The next prime is 85000000000009. The reversal of 85000000000000 is 58.

85000000000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 84990108504064 + 9891495936 = 9219008^2 + 99456^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85000000000009) 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 27 ways as a sum of consecutive naturals, for example, 4999999999992 + ... + 5000000000008.

Almost surely, 285000000000000 is an apocalyptic number.

85000000000000 is a gapful number since it is divisible by the number (80) 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 85000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112486267071414).

85000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (139972534142828).

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

85000000000000 is an frugal number, since it uses more digits than its factorization.

85000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 85000000000000 its reverse (58), we get a palindrome (85000000000058).

The spelling of 85000000000000 in words is "eighty-five trillion", and thus it is an aban number and an uban number.