Search a number
-
+
1818873895680 = 283658272357
BaseRepresentation
bin11010011101111101010…
…101010001101100000000
320102212211110010102000000
4122131331111101230000
5214300023204130210
63511325032000000
7245260251010002
oct32357525215400
96385743112000
101818873895680
1164141a994886
12254615230000
1310269952c40a
14640692bc372
15324a69d3ac0
hex1a77d551b00

1818873895680 has 504 divisors, whose sum is σ = 6542842258512. Its totient is φ = 484241006592.

The previous prime is 1818873895673. The next prime is 1818873895681. The reversal of 1818873895680 is 865983788181.

1818873895680 is a `hidden beast` number, since 1 + 8 + 188 + 7 + 389 + 5 + 68 + 0 = 666.

It is a super-4 number, since 4×18188738956804 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1818873895599 and 1818873895608.

It is not an unprimeable number, because it can be changed into a prime (1818873895681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 771689062 + ... + 771691418.

It is an arithmetic number, because the mean of its divisors is an integer number (12981829878).

Almost surely, 21818873895680 is an apocalyptic number.

1818873895680 is a gapful number since it is divisible by the number (10) 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 1818873895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271421129256).

1818873895680 is an abundant number, since it is smaller than the sum of its proper divisors (4723968362832).

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

1818873895680 is an frugal number, since it uses more digits than its factorization.

1818873895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 1818873895680 in words is "one trillion, eight hundred eighteen billion, eight hundred seventy-three million, eight hundred ninety-five thousand, six hundred eighty".