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204444020020 = 22519532191531
BaseRepresentation
bin1011111001100111010…
…0000010110100110100
3201112201001111021220111
42332121310002310310
511322200132120040
6233530440512404
720525212332412
oct2763164026464
9645631437814
10204444020020
1179782357219
1233757a7b704
1316381c25716
149c763b82b2
1554b86a5dea
hex2f99d02d34

204444020020 has 72 divisors (see below), whose sum is σ = 460619137440. Its totient is φ = 76011361920.

The previous prime is 204444020009. The next prime is 204444020023. The reversal of 204444020020 is 20020444402.

204444020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204444019973 and 204444020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204444020023) 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 23 ways as a sum of consecutive naturals, for example, 971655 + ... + 1163185.

It is an arithmetic number, because the mean of its divisors is an integer number (6397488020).

Almost surely, 2204444020020 is an apocalyptic number.

204444020020 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 204444020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230309568720).

204444020020 is an abundant number, since it is smaller than the sum of its proper divisors (256175117420).

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

204444020020 is a wasteful number, since it uses less digits than its factorization.

204444020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191665 (or 191610 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 204444020020 its reverse (20020444402), we get a palindrome (224464464422).

The spelling of 204444020020 in words is "two hundred four billion, four hundred forty-four million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 2809 4028 5035 5618 10070 11236 14045 20140 28090 53371 56180 106742 191531 213484 266855 383062 533710 766124 957655 1067420 1915310 3639089 3830620 7278178 10151143 14556356 18195445 20302286 36390890 40604572 50755715 72781780 101511430 192871717 203022860 385743434 538010579 771486868 964358585 1076021158 1928717170 2152042316 2690052895 3857434340 5380105790 10222201001 10760211580 20444402002 40888804004 51111005005 102222010010 204444020020