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1054523345204 = 227217433730909
BaseRepresentation
bin11110101100001100111…
…11010100100100110100
310201210220112201100012202
433112012133110210310
5114234130434021304
62124235155004032
7136121033353100
oct17260637244464
93653815640182
101054523345204
11377247a3416a
12150459899618
13785971c6c94
14390797dc900
151c66d2ab81e
hexf5867d4934

1054523345204 has 72 divisors (see below), whose sum is σ = 2278237699080. Its totient is φ = 424371032064.

The previous prime is 1054523345203. The next prime is 1054523345209. The reversal of 1054523345204 is 4025433254501.

It can be written as a sum of positive squares in 4 ways, for example, as 185414637604 + 869108707600 = 430598^2 + 932260^2 .

It is a super-2 number, since 2×10545233452042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054523345201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077302 + ... + 1808210.

It is an arithmetic number, because the mean of its divisors is an integer number (31642190265).

Almost surely, 21054523345204 is an apocalyptic number.

1054523345204 is a gapful number since it is divisible by the number (14) 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 1054523345204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139118849540).

1054523345204 is an abundant number, since it is smaller than the sum of its proper divisors (1223714353876).

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

1054523345204 is a wasteful number, since it uses less digits than its factorization.

1054523345204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731377 (or 731368 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 1054523345204 its reverse (4025433254501), we get a palindrome (5079956599705).

The spelling of 1054523345204 in words is "one trillion, fifty-four billion, five hundred twenty-three million, three hundred forty-five thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 433 476 833 866 1666 1732 3031 3332 6062 7361 12124 14722 21217 29444 42434 51527 84868 103054 206108 360689 721378 730909 1442756 1461818 2923636 5116363 10232726 12425453 20465452 24850906 35814541 49701812 71629082 86978171 143258164 173956342 316483597 347912684 608847197 632967194 1217694394 1265934388 2215385179 2435388788 4430770358 5380221149 8861540716 10760442298 15507696253 21520884596 31015392506 37661548043 62030785012 75323096086 150646192172 263630836301 527261672602 1054523345204