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5501942784000 = 213325313192417
BaseRepresentation
bin101000000010000010101…
…0110000110000000000000
3201110222110212000111021200
41100010011112012000000
51210120434323042000
615411320240221200
71105334162013015
oct120040526060000
921428425014250
105501942784000
1118313a72a2373
1274a39160a800
1330baa5875670
1415041ca0d70c
15981b8bb4500
hex50105586000

5501942784000 has 1344 divisors, whose sum is σ = 22494467136960. Its totient is φ = 1282513305600.

The previous prime is 5501942783989. The next prime is 5501942784049. The reversal of 5501942784000 is 4872491055.

5501942784000 is a `hidden beast` number, since 5 + 50 + 194 + 2 + 7 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2276350792 + ... + 2276353208.

It is an arithmetic number, because the mean of its divisors is an integer number (16736954715).

Almost surely, 25501942784000 is an apocalyptic number.

5501942784000 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 5501942784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247233568480).

5501942784000 is an abundant number, since it is smaller than the sum of its proper divisors (16992524352960).

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

5501942784000 is a wasteful number, since it uses less digits than its factorization.

5501942784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5501942784000 in words is "five trillion, five hundred one billion, nine hundred forty-two million, seven hundred eighty-four thousand".