Search a number
-
+
203054324316480 = 2635571331925663
BaseRepresentation
bin101110001010110101000100…
…110111101111100101000000
3222121221210200222200112200000
4232022311010313233211000
5203103320224011111410
61555505511355400000
760525122306535210
oct5612650467574500
9877853628615600
10203054324316480
115977694550904a
121a935356453000
13893bc2c713040
14381dc4b6a4240
151871d97b11dc0
hexb8ad44def940

203054324316480 has 1344 divisors, whose sum is σ = 920190467309568. Its totient is φ = 41460178821120.

The previous prime is 203054324316479. The next prime is 203054324316559. The reversal of 203054324316480 is 84613423450302.

203054324316480 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 5 + 4 + 324 + 316 + 4 + 8 + 0 = 666.

203054324316480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218898129 + ... + 219823791.

It is an arithmetic number, because the mean of its divisors is an integer number (684665526272).

Almost surely, 2203054324316480 is an apocalyptic number.

203054324316480 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 203054324316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460095233654784).

203054324316480 is an abundant number, since it is smaller than the sum of its proper divisors (717136142993088).

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

203054324316480 is a wasteful number, since it uses less digits than its factorization.

203054324316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925746 (or 925724 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 203054324316480 its reverse (84613423450302), we get a palindrome (287667747766782).

The spelling of 203054324316480 in words is "two hundred three trillion, fifty-four billion, three hundred twenty-four million, three hundred sixteen thousand, four hundred eighty".