Search a number
-
+
5335489081728 = 2732132131209201
BaseRepresentation
bin100110110100100001111…
…1011100111000110000000
3200220001211102000022002200
41031221003323213012000
51144404040201103403
615203031223513200
71060322251622211
oct115510373470600
920801742008080
105335489081728
11177784a544173
127220785b8800
132c9199548100
1414634bd47408
1593bc586dca3
hex4da43ee7180

5335489081728 has 288 divisors, whose sum is σ = 16752297842280. Its totient is φ = 1629149184000.

The previous prime is 5335489081721. The next prime is 5335489081807. The reversal of 5335489081728 is 8271809845335.

5335489081728 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 489 + 0 + 81 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335489081721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25399528 + ... + 25608728.

Almost surely, 25335489081728 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 5335489081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376148921140).

5335489081728 is an abundant number, since it is smaller than the sum of its proper divisors (11416808760552).

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

5335489081728 is a wasteful number, since it uses less digits than its factorization.

5335489081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209378 (or 209350 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5335489081728 in words is "five trillion, three hundred thirty-five billion, four hundred eighty-nine million, eighty-one thousand, seven hundred twenty-eight".