Search a number
-
+
183822814030050 = 23252131721929319531
BaseRepresentation
bin101001110010111110010101…
…100010000010100011100010
3220002212021210222012101010100
4221302332111202002203202
5143043223110342430200
61450543011315043230
753501521460350116
oct5162762542024342
9802767728171110
10183822814030050
11536318aa2a6178
121874a1145a0516
137b7555615c590
143357100943746
15163b9bea66d00
hexa72f958828e2

183822814030050 has 864 divisors, whose sum is σ = 596783426541120. Its totient is φ = 40205826662400.

The previous prime is 183822814030021. The next prime is 183822814030091. The reversal of 183822814030050 is 50030418228381.

183822814030050 is a `hidden beast` number, since 1 + 8 + 38 + 228 + 1 + 40 + 300 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 183822814029978 and 183822814030005.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9411838785 + ... + 9411858315.

Almost surely, 2183822814030050 is an apocalyptic number.

183822814030050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 183822814030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298391713270560).

183822814030050 is an abundant number, since it is smaller than the sum of its proper divisors (412960612511070).

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

183822814030050 is a wasteful number, since it uses less digits than its factorization.

183822814030050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19883 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 183822814030050 in words is "one hundred eighty-three trillion, eight hundred twenty-two billion, eight hundred fourteen million, thirty thousand, fifty".