Search a number
-
+
5660530176000 = 2123537275209
BaseRepresentation
bin101001001011111000111…
…1000111111000000000000
3202001010211002011201101210
41102113301320333000000
51220220231211113000
620012224530330120
71122650133422400
oct122276170770000
922033732151353
105660530176000
1118926877951a7
12775070129940
13320a2a26ab5b
14157d84a8c800
159c39b61b350
hex525f1e3f000

5660530176000 has 624 divisors, whose sum is σ = 21911492472480. Its totient is φ = 1293818265600.

The previous prime is 5660530175987. The next prime is 5660530176031. The reversal of 5660530176000 is 6710350665.

It is a self number, because there is not a number n which added to its sum of digits gives 5660530176000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75226396 + ... + 75301604.

It is an arithmetic number, because the mean of its divisors is an integer number (35114571270).

Almost surely, 25660530176000 is an apocalyptic number.

5660530176000 is a gapful number since it is divisible by the number (50) 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 5660530176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955746236240).

5660530176000 is an abundant number, since it is smaller than the sum of its proper divisors (16250962296480).

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

5660530176000 is an equidigital number, since it uses as much as digits as its factorization.

5660530176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75265 (or 75226 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 5660530176000 in words is "five trillion, six hundred sixty billion, five hundred thirty million, one hundred seventy-six thousand".