Search a number
-
+
13848128044716 = 22374347226935951
BaseRepresentation
bin1100100110000100010011…
…0000001011111010101100
31211000212102212001020222210
43021201010300023322230
53303341431234412331
645241424152010420
72626331344132530
oct311410460137254
954025385036883
1013848128044716
114459a5a296859
121677a3a090a10
13795b4690cc54
1435c378233bc0
1519034cd00446
hexc9844c0beac

13848128044716 has 192 divisors, whose sum is σ = 38609203691520. Its totient is φ = 3780596332800.

The previous prime is 13848128044703. The next prime is 13848128044781. The reversal of 13848128044716 is 61744082184831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385176541 + ... + 385212491.

It is an arithmetic number, because the mean of its divisors is an integer number (201089602560).

Almost surely, 213848128044716 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 13848128044716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304601845760).

13848128044716 is an abundant number, since it is smaller than the sum of its proper divisors (24761075646804).

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

13848128044716 is a wasteful number, since it uses less digits than its factorization.

13848128044716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38324 (or 38322 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 13848128044716 in words is "thirteen trillion, eight hundred forty-eight billion, one hundred twenty-eight million, forty-four thousand, seven hundred sixteen".