Search a number
-
+
5338859910144 = 210331439127703
BaseRepresentation
bin100110110110000110011…
…0110010011010000000000
3200220101112022211010101120
41031230030312103100000
51144432441114111034
615204345520232240
71060501632321255
oct115541466232000
920811468733346
105338859910144
11177921a265482
1272285946b680
132c95b59c9037
1414658b8bd42c
1593d21762c49
hex4db0cd93400

5338859910144 has 176 divisors, whose sum is σ = 14722616156160. Its totient is φ = 1718276382720.

The previous prime is 5338859910127. The next prime is 5338859910227. The reversal of 5338859910144 is 4410199588335.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41742997 + ... + 41870699.

It is an arithmetic number, because the mean of its divisors is an integer number (83651228160).

Almost surely, 25338859910144 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 5338859910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361308078080).

5338859910144 is an abundant number, since it is smaller than the sum of its proper divisors (9383756246016).

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

5338859910144 is a wasteful number, since it uses less digits than its factorization.

5338859910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128196 (or 128178 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 5338859910144 in words is "five trillion, three hundred thirty-eight billion, eight hundred fifty-nine million, nine hundred ten thousand, one hundred forty-four".