Search a number
-
+
20832234696 = 23337135319997
BaseRepresentation
bin10011011001101100…
…101010110011001000
31222202211112011122000
4103121230222303020
5320131023002241
613323055031000
71335146034060
oct233154526310
958684464560
1020832234696
118920287299
12405480b460
131c6cc359c0
141018a423a0
1581dd5deb6
hex4d9b2acc8

20832234696 has 256 divisors, whose sum is σ = 72568742400. Its totient is φ = 5390281728.

The previous prime is 20832234679. The next prime is 20832234737. The reversal of 20832234696 is 69643223802.

It is a happy number.

20832234696 is a `hidden beast` number, since 208 + 322 + 34 + 6 + 96 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1031770 + ... + 1051766.

It is an arithmetic number, because the mean of its divisors is an integer number (283471650).

Almost surely, 220832234696 is an apocalyptic number.

20832234696 is a gapful number since it is divisible by the number (26) 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 20832234696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284371200).

20832234696 is an abundant number, since it is smaller than the sum of its proper divisors (51736507704).

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

20832234696 is a wasteful number, since it uses less digits than its factorization.

20832234696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085 (or 20075 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20832234696 in words is "twenty billion, eight hundred thirty-two million, two hundred thirty-four thousand, six hundred ninety-six".