Search a number
-
+
26543220480000 = 2113554773167
BaseRepresentation
bin1100000100100000100110…
…01110100101100000000000
310110222111200200011122100000
412002100103032211200000
511434341003420330000
6132241442005200000
75406453514311660
oct602202316454000
9113874620148300
1026543220480000
118503a09a87244
122b88306a00000
1311a7026b03403
1467a9ad4381a0
153106b4030000
hex1824133a5800

26543220480000 has 2880 divisors, whose sum is σ = 115781004218880. Its totient is φ = 5948080128000.

The previous prime is 26543220479939. The next prime is 26543220480031. The reversal of 26543220480000 is 8402234562.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 158941439917 + ... + 158941440083.

It is an arithmetic number, because the mean of its divisors is an integer number (40201737576).

Almost surely, 226543220480000 is an apocalyptic number.

26543220480000 is a gapful number since it is divisible by the number (20) 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 26543220480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57890502109440).

26543220480000 is an abundant number, since it is smaller than the sum of its proper divisors (89237783738880).

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

26543220480000 is an frugal number, since it uses more digits than its factorization.

26543220480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 26543220480000 in words is "twenty-six trillion, five hundred forty-three billion, two hundred twenty million, four hundred eighty thousand".