Search a number
-
+
36385440000 = 28354731317
BaseRepresentation
bin100001111000101111…
…011100000100000000
310110220202121212022220
4201320233130010000
51044004133040000
624414254131040
72425444065000
oct417057340400
9113822555286
1036385440000
11144816a5678
1270754b0a80
13357b275170
141a9250c000
15e2e4eb1a0
hex878bdc100

36385440000 has 1440 divisors, whose sum is σ = 160913491200. Its totient is φ = 7225344000.

The previous prime is 36385439971. The next prime is 36385440011. The reversal of 36385440000 is 4458363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2140319992 + ... + 2140320008.

It is an arithmetic number, because the mean of its divisors is an integer number (111745480).

Almost surely, 236385440000 is an apocalyptic number.

36385440000 is a gapful number since it is divisible by the number (30) 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 36385440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80456745600).

36385440000 is an abundant number, since it is smaller than the sum of its proper divisors (124528051200).

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

36385440000 is an equidigital number, since it uses as much as digits as its factorization.

36385440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 36385440000 its reverse (4458363), we get a palindrome (36389898363).

The spelling of 36385440000 in words is "thirty-six billion, three hundred eighty-five million, four hundred forty thousand".