Search a number
-
+
5997331404288 = 29347181311367
BaseRepresentation
bin101011101000101110011…
…0011101101011000000000
3210020100011100002211210000
41113101130303231120000
51241230013314414123
620431045213440000
71156202314552560
oct127213463553000
923210140084700
105997331404288
111a024aa255a54
1280a3a61a0000
13346713520593
1416a3b5612da0
15a600ea57b43
hex5745cced600

5997331404288 has 800 divisors, whose sum is σ = 20693063559168. Its totient is φ = 1693948723200.

The previous prime is 5997331404247. The next prime is 5997331404289. The reversal of 5997331404288 is 8824041337995.

5997331404288 is a `hidden beast` number, since 59 + 9 + 73 + 31 + 404 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5997331404289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16341502281 + ... + 16341502647.

Almost surely, 25997331404288 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 5997331404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346531779584).

5997331404288 is an abundant number, since it is smaller than the sum of its proper divisors (14695732154880).

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

5997331404288 is a wasteful number, since it uses less digits than its factorization.

5997331404288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5997331404288 in words is "five trillion, nine hundred ninety-seven billion, three hundred thirty-one million, four hundred four thousand, two hundred eighty-eight".