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204054572176 = 2472132172732
BaseRepresentation
bin1011111000001010011…
…0011010110010010000
3201111200220200021220021
42332002212122302100
511320400432302201
6233424045353224
720512443150100
oct2760246326220
9644626607807
10204054572176
11795a25392a4
1233669568814
131631c33a100
149c3a79d200
1554943c8ea1
hex2f8299ac90

204054572176 has 405 divisors, whose sum is σ = 536365681281. Its totient is φ = 74935590912.

The previous prime is 204054572149. The next prime is 204054572209. The reversal of 204054572176 is 671275450402.

The square root of 204054572176 is 451724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107597120400 + 96457451776 = 328020^2 + 310576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2795268076 + ... + 2795268148.

Almost surely, 2204054572176 is an apocalyptic number.

204054572176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

204054572176 is the 451724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204054572176

204054572176 is an abundant number, since it is smaller than the sum of its proper divisors (332311109105).

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

204054572176 is a wasteful number, since it uses less digits than its factorization.

204054572176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 204054572176 in words is "two hundred four billion, fifty-four million, five hundred seventy-two thousand, one hundred seventy-six".