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204125819040 = 2534511213171931
BaseRepresentation
bin1011111000011011011…
…0001101000010100000
3201111212212202000020000
42332012312031002200
511321022202202130
6233435112420000
720514266555643
oct2760666150240
9644785660200
10204125819040
1179629781100
12336893a7600
1316331024310
149c46027a5a
15549a79e260
hex2f86d8d0a0

204125819040 has 2880 divisors, whose sum is σ = 981091077120. Its totient is φ = 39414988800.

The previous prime is 204125818993. The next prime is 204125819047. The reversal of 204125819040 is 40918521402.

204125819040 is a `hidden beast` number, since 2 + 0 + 412 + 58 + 190 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204125818986 and 204125819004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204125819047) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 6584703825 + ... + 6584703855.

It is an arithmetic number, because the mean of its divisors is an integer number (340656624).

Almost surely, 2204125819040 is an apocalyptic number.

204125819040 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 204125819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490545538560).

204125819040 is an abundant number, since it is smaller than the sum of its proper divisors (776965258080).

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

204125819040 is a wasteful number, since it uses less digits than its factorization.

204125819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 204125 and 819040, that added together give a triangular number (1023165 = T1430).

The spelling of 204125819040 in words is "two hundred four billion, one hundred twenty-five million, eight hundred nineteen thousand, forty".