Search a number
-
+
6293026205550 = 2345271678211619
BaseRepresentation
bin101101110010011010110…
…0101110110111101101110
3211021121101211001010010000
41123210311211312331232
51311101104202034200
621214550515325130
71216441025110350
oct133446545667556
924247354033100
106293026205550
112006948263767
128577698b07a6
1336857842c5c6
1417a826a770d0
15ada692a7300
hex5b935976f6e

6293026205550 has 480 divisors, whose sum is σ = 20139765972480. Its totient is φ = 1427169196800.

The previous prime is 6293026205519. The next prime is 6293026205551. The reversal of 6293026205550 is 555026203926.

6293026205550 is a `hidden beast` number, since 6 + 2 + 9 + 30 + 2 + 62 + 0 + 5 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6293026205496 and 6293026205505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6293026205551) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3886982641 + ... + 3886984259.

It is an arithmetic number, because the mean of its divisors is an integer number (41957845776).

Almost surely, 26293026205550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6293026205550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069882986240).

6293026205550 is an abundant number, since it is smaller than the sum of its proper divisors (13846739766930).

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

6293026205550 is a wasteful number, since it uses less digits than its factorization.

6293026205550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 6293026205550 in words is "six trillion, two hundred ninety-three billion, twenty-six million, two hundred five thousand, five hundred fifty".