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204150045400 = 235271741209213
BaseRepresentation
bin1011111000100001001…
…0100111101011011000
3201111221120022211112121
42332020102213223120
511321044402423100
6233441335551024
720515012516510
oct2761022475330
9644846284477
10204150045400
1179641418794
123369552b474
1316336057342
149c49332840
15549c98751a
hex2f884a7ad8

204150045400 has 192 divisors, whose sum is σ = 588376716480. Its totient is φ = 64269926400.

The previous prime is 204150045353. The next prime is 204150045403. The reversal of 204150045400 is 4540051402.

It is a happy number.

204150045400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041500454002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204150045403) 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 47 ways as a sum of consecutive naturals, for example, 871194 + ... + 1080406.

It is an arithmetic number, because the mean of its divisors is an integer number (3064462065).

Almost surely, 2204150045400 is an apocalyptic number.

204150045400 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 204150045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294188358240).

204150045400 is an abundant number, since it is smaller than the sum of its proper divisors (384226671080).

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

204150045400 is a wasteful number, since it uses less digits than its factorization.

204150045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209294 (or 209285 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 204150045400 its reverse (4540051402), we get a palindrome (208690096802).

The spelling of 204150045400 in words is "two hundred four billion, one hundred fifty million, forty-five thousand, four hundred".