Search a number
-
+
2543454321408 = 2833711213231453
BaseRepresentation
bin100101000000110001101…
…100001111101100000000
3100000011002201000210212000
4211000301230033230000
5313132443301241113
65224240301104000
7351521112006210
oct45006154175400
910004081023760
102543454321408
118a0744725100
12350b31858000
13155b012c9860
148b164d4c240
15462639d0373
hex25031b0fb00

2543454321408 has 1728 divisors, whose sum is σ = 10624933079040. Its totient is φ = 582903889920.

The previous prime is 2543454321403. The next prime is 2543454321449. The reversal of 2543454321408 is 8041234543452.

2543454321408 is a `hidden beast` number, since 2 + 5 + 43 + 4 + 543 + 21 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (2543454321403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1750484010 + ... + 1750485462.

Almost surely, 22543454321408 is an apocalyptic number.

2543454321408 is a gapful number since it is divisible by the number (28) 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 2543454321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312466539520).

2543454321408 is an abundant number, since it is smaller than the sum of its proper divisors (8081478757632).

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

2543454321408 is a wasteful number, since it uses less digits than its factorization.

2543454321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 2543454321408 in words is "two trillion, five hundred forty-three billion, four hundred fifty-four million, three hundred twenty-one thousand, four hundred eight".