Search a number
-
+
55273985280 = 283551947199
BaseRepresentation
bin110011011110100101…
…100001010100000000
312021200010202101100000
4303132211201110000
51401200120012110
641220441200000
73664512060063
oct633645412400
9167603671300
1055273985280
11214947a6278
12a867190000
13529b5bb387
142964d528da
1516878bc1c0
hexcde961500

55273985280 has 864 divisors, whose sum is σ = 214276608000. Its totient is φ = 13598171136.

The previous prime is 55273985257. The next prime is 55273985287. The reversal of 55273985280 is 8258937255.

55273985280 is a `hidden beast` number, since 5 + 5 + 27 + 3 + 98 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55273985287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277758621 + ... + 277758819.

Almost surely, 255273985280 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 55273985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304000).

55273985280 is an abundant number, since it is smaller than the sum of its proper divisors (159002622720).

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

55273985280 is a wasteful number, since it uses less digits than its factorization.

55273985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 55273985280 in words is "fifty-five billion, two hundred seventy-three million, nine hundred eighty-five thousand, two hundred eighty".