Search a number
-
+
6381471696000 = 273531737972179
BaseRepresentation
bin101110011011100110101…
…0110101000010010000000
3211121001200201211120000120
41130313031112220102000
51314023223223233000
621323335125220240
71226021550300162
oct134671526502200
924531621746016
106381471696000
112040404453815
12870931b61680
13373a0218573b
14180c17322932
15b0ee3e1d6a0
hex5cdcd5a8480

6381471696000 has 1024 divisors, whose sum is σ = 23252167411200. Its totient is φ = 1541564006400.

The previous prime is 6381471695993. The next prime is 6381471696001. The reversal of 6381471696000 is 6961741836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (6381471696001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2928622911 + ... + 2928625089.

Almost surely, 26381471696000 is an apocalyptic number.

6381471696000 is a gapful number since it is divisible by the number (60) 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 6381471696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626083705600).

6381471696000 is an abundant number, since it is smaller than the sum of its proper divisors (16870695715200).

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

6381471696000 is a wasteful number, since it uses less digits than its factorization.

6381471696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 6381471696000 in words is "six trillion, three hundred eighty-one billion, four hundred seventy-one million, six hundred ninety-six thousand".