Search a number
-
+
6363696540096 = 263471519671201
BaseRepresentation
bin101110010011010100111…
…0111110010100111000000
3211112100210221202002010000
41130212221313302213000
51313230322303240341
621311235234040000
71224522222045210
oct134465167624700
924470727662100
106363696540096
112033912883025
128693b1119000
1337212b6ca6cc
1418000c704240
15b080367a8b6
hex5c9a9df29c0

6363696540096 has 560 divisors, whose sum is σ = 21742150177792. Its totient is φ = 1802787840000.

The previous prime is 6363696540077. The next prime is 6363696540139. The reversal of 6363696540096 is 6900456963636.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5298664296 + ... + 5298665496.

Almost surely, 26363696540096 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 6363696540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871075088896).

6363696540096 is an abundant number, since it is smaller than the sum of its proper divisors (15378453637696).

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

6363696540096 is a wasteful number, since it uses less digits than its factorization.

6363696540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 63.

The spelling of 6363696540096 in words is "six trillion, three hundred sixty-three billion, six hundred ninety-six million, five hundred forty thousand, ninety-six".