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204850439640 = 233357112223939
BaseRepresentation
bin1011111011001000001…
…0011010010111011000
3201120202101020112211000
42332302002122113120
511324013203032030
6234035035505000
720541246002310
oct2766202322730
9646671215730
10204850439640
1179970807300
123384bbb8160
13164181a3cc2
149cb4370440
1554de1d6860
hex2fb209a5d8

204850439640 has 384 divisors, whose sum is σ = 857779776000. Its totient is φ = 42566135040.

The previous prime is 204850439623. The next prime is 204850439641. The reversal of 204850439640 is 46934058402.

204850439640 is a `hidden beast` number, since 2 + 0 + 485 + 0 + 43 + 96 + 40 = 666.

204850439640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204850439641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802791 + ... + 1026729.

It is an arithmetic number, because the mean of its divisors is an integer number (2233801500).

Almost surely, 2204850439640 is an apocalyptic number.

204850439640 is a gapful number since it is divisible by the number (20) 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 204850439640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428889888000).

204850439640 is an abundant number, since it is smaller than the sum of its proper divisors (652929336360).

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

204850439640 is a wasteful number, since it uses less digits than its factorization.

204850439640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223988 (or 223967 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 204850439640 in words is "two hundred four billion, eight hundred fifty million, four hundred thirty-nine thousand, six hundred forty".