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51384202944000 = 2935313118111287
BaseRepresentation
bin10111010111011110100010…
…01010011101111000000000
320201221021121110012110122120
423223233101022131320000
523213334321423202000
6301141324342204240
713552246310336253
oct1353572112357000
9221837543173576
1051384202944000
1115410a10a843a3
12591a729723680
13228968161bc24
14c99019bcd09a
155e194b0156a0
hex2ebbd129de00

51384202944000 has 640 divisors, whose sum is σ = 173110154241024. Its totient is φ = 13521530880000.

The previous prime is 51384202943999. The next prime is 51384202944001. The reversal of 51384202944000 is 44920248315.

It is a happy number.

51384202944000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51384202943999) and next prime (51384202944001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51384202944001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4552506357 + ... + 4552517643.

Almost surely, 251384202944000 is an apocalyptic number.

51384202944000 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 51384202944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86555077120512).

51384202944000 is an abundant number, since it is smaller than the sum of its proper divisors (121725951297024).

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

51384202944000 is a wasteful number, since it uses less digits than its factorization.

51384202944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 51384202944000 in words is "fifty-one trillion, three hundred eighty-four billion, two hundred two million, nine hundred forty-four thousand".