Search a number
-
+
5288560200000 = 26335572112379
BaseRepresentation
bin100110011110101011011…
…0000001000100101000000
3200201120200212001002202000
41030331112300020211000
51143121432402400000
615125310411024000
71054041310664100
oct114752660104500
920646625032660
105288560200000
1117599583a67a0
12714b6013b000
132c492ab3043c
14143d79453200
159287a91a000
hex4cf56c08940

5288560200000 has 4032 divisors, whose sum is σ = 26058732134400. Its totient is φ = 1037836800000.

The previous prime is 5288560199969. The next prime is 5288560200031. The reversal of 5288560200000 is 20658825.

It is an interprime number because it is at equal distance from previous prime (5288560199969) and next prime (5288560200031).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 66943799961 + ... + 66943800039.

It is an arithmetic number, because the mean of its divisors is an integer number (6462979200).

Almost surely, 25288560200000 is an apocalyptic number.

5288560200000 is a gapful number since it is divisible by the number (50) 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 5288560200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029366067200).

5288560200000 is an abundant number, since it is smaller than the sum of its proper divisors (20770171934400).

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

5288560200000 is a wasteful number, since it uses less digits than its factorization.

5288560200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 5288560200000 its reverse (20658825), we get a palindrome (5288580858825).

The spelling of 5288560200000 in words is "five trillion, two hundred eighty-eight billion, five hundred sixty million, two hundred thousand".