Search a number
-
+
13203985852944 = 24343719110931319
BaseRepresentation
bin1100000000100100101011…
…1000101110101000010000
31201202021210110212112010000
43000021022320232220100
53212313230334243234
644025454413210000
72531646035631045
oct300111270565020
951667713775100
1013203985852944
114230862872237
121593030190900
1374a1909b4953
1433910d6171cc
1517d6ec9d9899
hexc024ae2ea10

13203985852944 has 400 divisors, whose sum is σ = 39520564807680. Its totient is φ = 4252828769280.

The previous prime is 13203985852933. The next prime is 13203985853033. The reversal of 13203985852944 is 44925858930231.

13203985852944 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 9 + 8 + 585 + 2 + 9 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10010602717 + ... + 10010604035.

Almost surely, 213203985852944 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 13203985852944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760282403840).

13203985852944 is an abundant number, since it is smaller than the sum of its proper divisors (26316578954736).

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

13203985852944 is a wasteful number, since it uses less digits than its factorization.

13203985852944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 13203985852944 in words is "thirteen trillion, two hundred three billion, nine hundred eighty-five million, eight hundred fifty-two thousand, nine hundred forty-four".