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5046236820000 = 25345417971889
BaseRepresentation
bin100100101101110101100…
…1001110011001000100000
3122212102012220211221120000
41021123223021303020200
51130134143111220000
614422113104020000
71030402311150465
oct111335311631040
918772186757500
105046236820000
1116761081477a2
12695bb2601600
132a7b202bbb5c
1413634c3ab66c
158b3e6a20000
hex496eb273220

5046236820000 has 1200 divisors, whose sum is σ = 19848940899480. Its totient is φ = 1252786176000.

The previous prime is 5046236819999. The next prime is 5046236820007. The reversal of 5046236820000 is 286326405.

5046236820000 is a `hidden beast` number, since 5 + 0 + 4 + 623 + 6 + 8 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1439625624336 + 3606611195664 = 1199844^2 + 1899108^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (5046236820007) 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 199 ways as a sum of consecutive naturals, for example, 2671379056 + ... + 2671380944.

Almost surely, 25046236820000 is an apocalyptic number.

5046236820000 is a gapful number since it is divisible by the number (50) 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 5046236820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924470449740).

5046236820000 is an abundant number, since it is smaller than the sum of its proper divisors (14802704079480).

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

5046236820000 is a wasteful number, since it uses less digits than its factorization.

5046236820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5046236820000 in words is "five trillion, forty-six billion, two hundred thirty-six million, eight hundred twenty thousand".