Search a number
-
+
205083323928 = 2336719326029
BaseRepresentation
bin1011111011111111101…
…0110010111000011000
3201121100121110022000000
42332333322302320120
511330002312331203
6234114115213000
720550104330250
oct2767772627030
9647317408000
10205083323928
1179a8020a75a
12338b5ba7160
1316454503062
149cd7272960
1555048894a3
hex2fbfeb2e18

205083323928 has 224 divisors, whose sum is σ = 662334391200. Its totient is φ = 58289393664.

The previous prime is 205083323927. The next prime is 205083323941. The reversal of 205083323928 is 829323380502.

205083323928 is a `hidden beast` number, since 2 + 0 + 508 + 33 + 23 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205083323927) 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, 7866018 + ... + 7892046.

Almost surely, 2205083323928 is an apocalyptic number.

205083323928 is a gapful number since it is divisible by the number (28) 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 205083323928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331167195600).

205083323928 is an abundant number, since it is smaller than the sum of its proper divisors (457251067272).

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

205083323928 is a wasteful number, since it uses less digits than its factorization.

205083323928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26253 (or 26234 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 205083323928 in words is "two hundred five billion, eighty-three million, three hundred twenty-three thousand, nine hundred twenty-eight".