Search a number
-
+
6303294963108 = 223311132431275749
BaseRepresentation
bin101101110111001100110…
…1010000011110110100100
3211022120220110112001022000
41123232121222003312210
51311233122002304413
621223405502405300
71220253345110133
oct133563152036644
924276813461260
106303294963108
112010237753260
12859754890830
133695239c9200
1417b11c79991a
15ade6aa52073
hex5bb99a83da4

6303294963108 has 576 divisors, whose sum is σ = 19912273920000. Its totient is φ = 1708298242560.

The previous prime is 6303294963071. The next prime is 6303294963137. The reversal of 6303294963108 is 8013694923036.

6303294963108 is a `hidden beast` number, since 6 + 30 + 3 + 294 + 9 + 6 + 310 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1096413018 + ... + 1096418766.

It is an arithmetic number, because the mean of its divisors is an integer number (34569920000).

Almost surely, 26303294963108 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 6303294963108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9956136960000).

6303294963108 is an abundant number, since it is smaller than the sum of its proper divisors (13608978956892).

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

6303294963108 is a wasteful number, since it uses less digits than its factorization.

6303294963108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 6303294963108 in words is "six trillion, three hundred three billion, two hundred ninety-four million, nine hundred sixty-three thousand, one hundred eight".