Search a number
-
+
5896143601920 = 28375112132103
BaseRepresentation
bin101010111001100110110…
…0010111000000100000000
3202212122222101101220000000
41111303031202320010000
51233100300230230140
620312352340000000
71145660635460445
oct125631542700400
922778871356000
105896143601920
1119735a4395400
127b2866690000
1333a0088ca600
141655369199cc
15a358b3e1a30
hex55ccd8b8100

5896143601920 has 2592 divisors, whose sum is σ = 25455525338880. Its totient is φ = 1306606878720.

The previous prime is 5896143601919. The next prime is 5896143601963. The reversal of 5896143601920 is 291063416985.

5896143601920 is a `hidden beast` number, since 5 + 8 + 9 + 6 + 1 + 4 + 3 + 601 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57244112589 + ... + 57244112691.

Almost surely, 25896143601920 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 5896143601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727762669440).

5896143601920 is an abundant number, since it is smaller than the sum of its proper divisors (19559381736960).

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

5896143601920 is a wasteful number, since it uses less digits than its factorization.

5896143601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5896143601920 in words is "five trillion, eight hundred ninety-six billion, one hundred forty-three million, six hundred one thousand, nine hundred twenty".