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11054136412600 = 2352731933922967
BaseRepresentation
bin1010000011011011110111…
…0111111100100110111000
31110010202122202212101021221
42200312331313330212320
52422102332410200400
635302111122441424
72220430543122121
oct240667567744670
943122582771257
1011054136412600
11358203a907a76
1212a6447b03274
136225291379a8
142a30473a9048
1514282426cc1a
hexa0dbddfc9b8

11054136412600 has 96 divisors (see below), whose sum is σ = 26187929802720. Its totient is φ = 4338486558720.

The previous prime is 11054136412531. The next prime is 11054136412601. The reversal of 11054136412600 is 621463145011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054136412601) 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, 856317 + ... + 4779283.

It is an arithmetic number, because the mean of its divisors is an integer number (272790935445).

Almost surely, 211054136412600 is an apocalyptic number.

11054136412600 is a gapful number since it is divisible by the number (10) 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 11054136412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093964901360).

11054136412600 is an abundant number, since it is smaller than the sum of its proper divisors (15133793390120).

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

11054136412600 is a wasteful number, since it uses less digits than its factorization.

11054136412600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923249 (or 3923240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 11054136412600 its reverse (621463145011), we get a palindrome (11675599557611).

The spelling of 11054136412600 in words is "eleven trillion, fifty-four billion, one hundred thirty-six million, four hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 193 200 292 365 386 584 730 772 965 1460 1544 1825 1930 2920 3650 3860 4825 7300 7720 9650 14089 14600 19300 28178 38600 56356 70445 112712 140890 281780 352225 563560 704450 1408900 2817800 3922967 7845934 15691868 19614835 31383736 39229670 78459340 98074175 156918680 196148350 286376591 392296700 572753182 757132631 784593400 1145506364 1431882955 1514265262 2291012728 2863765910 3028530524 3785663155 5727531820 6057061048 7159414775 7571326310 11455063640 14318829550 15142652620 18928315775 28637659100 30285305240 37856631550 55270682063 57275318200 75713263100 110541364126 151426526200 221082728252 276353410315 442165456504 552706820630 1105413641260 1381767051575 2210827282520 2763534103150 5527068206300 11054136412600