Search a number
-
+
2018960534052 = 2237711171571123
BaseRepresentation
bin11101011000010011011…
…011001110101000100100
321011000021211102210000000
4131120103123032220210
5231034312344042202
64143255255021300
7265602503246010
oct35302333165044
97130254383000
102018960534052
11709266650740
1228735596a830
131185057943a7
146da0aab3540
15377b786d91c
hex1d6136cea24

2018960534052 has 768 divisors, whose sum is σ = 7045941288960. Its totient is φ = 489977579520.

The previous prime is 2018960534051. The next prime is 2018960534081. The reversal of 2018960534052 is 2504350698102.

2018960534052 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 9 + 60 + 534 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2018960533989 and 2018960534007.

It is not an unprimeable number, because it can be changed into a prime (2018960534051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1797827163 + ... + 1797828285.

It is an arithmetic number, because the mean of its divisors is an integer number (9174402720).

Almost surely, 22018960534052 is an apocalyptic number.

2018960534052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018960534052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522970644480).

2018960534052 is an abundant number, since it is smaller than the sum of its proper divisors (5026980754908).

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

2018960534052 is a wasteful number, since it uses less digits than its factorization.

2018960534052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2018960534052 in words is "two trillion, eighteen billion, nine hundred sixty million, five hundred thirty-four thousand, fifty-two".