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5453501664384 = 27321710117315937
BaseRepresentation
bin100111101011011111000…
…0001111000110010000000
3201022100102220111122112100
41033112332001320302000
51203322232411230014
615333145403030400
71102000566210024
oct117267601706200
921270386448470
105453501664384
1118128a9576214
12740b1280b400
13307355a72387
1414bd4534c384
1596cd10ea009
hex4f5be078c80

5453501664384 has 384 divisors, whose sum is σ = 16878711124080. Its totient is φ = 1684065484800.

The previous prime is 5453501664361. The next prime is 5453501664419. The reversal of 5453501664384 is 4834661053545.

5453501664384 is a `hidden beast` number, since 5 + 4 + 53 + 50 + 166 + 4 + 384 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5453495313984 + 6350400 = 2335272^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5453501664384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342183264 + ... + 342199200.

Almost surely, 25453501664384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5453501664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439355562040).

5453501664384 is an abundant number, since it is smaller than the sum of its proper divisors (11425209459696).

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

5453501664384 is a wasteful number, since it uses less digits than its factorization.

5453501664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 5453501664384 in words is "five trillion, four hundred fifty-three billion, five hundred one million, six hundred sixty-four thousand, three hundred eighty-four".