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2108112494400 = 26325211109122099
BaseRepresentation
bin11110101011010101010…
…010111101111101000000
321110112101222120121102100
4132223111102331331000
5234014403244310100
64252241542550400
7305206664354523
oct36532522757500
97415358517370
102108112494400
117430555aa010
122a0696738400
13123a429b3753
14740670dcbba
1539c84534400
hex1ead54bdf40

2108112494400 has 504 divisors, whose sum is σ = 8248944132000. Its totient is φ = 506364825600.

The previous prime is 2108112494339. The next prime is 2108112494441. The reversal of 2108112494400 is 44942118012.

2108112494400 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 1 + 1 + 249 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 17204551 + ... + 17326649.

Almost surely, 22108112494400 is an apocalyptic number.

2108112494400 is a gapful number since it is divisible by the number (20) 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 2108112494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124472066000).

2108112494400 is an abundant number, since it is smaller than the sum of its proper divisors (6140831637600).

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

2108112494400 is a wasteful number, since it uses less digits than its factorization.

2108112494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122247 (or 122229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2108112494400 in words is "two trillion, one hundred eight billion, one hundred twelve million, four hundred ninety-four thousand, four hundred".