Search a number
-
+
5516387997120 = 263457311134339
BaseRepresentation
bin101000001000110001001…
…0110001101010111000000
3201112100202120020100110000
41100101202112031113000
51210340030311401440
615422105455240000
71106355144213000
oct120214226152700
921470676210400
105516387997120
11183753a237830
12751143219000
13310268496450
14150dcd29a000
1598761e3c730
hex5046258d5c0

5516387997120 has 2240 divisors, whose sum is σ = 26890528896000. Its totient is φ = 1057844551680.

The previous prime is 5516387997083. The next prime is 5516387997121. The reversal of 5516387997120 is 217997836155.

5516387997120 is a `hidden beast` number, since 5 + 516 + 3 + 8 + 7 + 9 + 97 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516387997121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1271347911 + ... + 1271352249.

It is an arithmetic number, because the mean of its divisors is an integer number (12004700400).

Almost surely, 25516387997120 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 5516387997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445264448000).

5516387997120 is an abundant number, since it is smaller than the sum of its proper divisors (21374140898880).

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

5516387997120 is a wasteful number, since it uses less digits than its factorization.

5516387997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 5516387997120 in words is "five trillion, five hundred sixteen billion, three hundred eighty-seven million, nine hundred ninety-seven thousand, one hundred twenty".