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21204134054112 = 25313910987144629
BaseRepresentation
bin1001101001000111110001…
…11000001100100011100000
32210002002120120010022202110
410310203320320030203200
510234402031304212422
6113033013353515320
74315643131425552
oct464437070144340
983062516108673
1021204134054112
116835693979179
122465605712b40
13baa7061c7cb9
145343dd8334d2
1526b87c97660c
hex1348f8e0c8e0

21204134054112 has 96 divisors (see below), whose sum is σ = 56066779843200. Its totient is φ = 7016508246528.

The previous prime is 21204134054071. The next prime is 21204134054143. The reversal of 21204134054112 is 21145043140212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21204134054112.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146538214 + ... + 146682842.

It is an arithmetic number, because the mean of its divisors is an integer number (584028956700).

Almost surely, 221204134054112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204134054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28033389921600).

21204134054112 is an abundant number, since it is smaller than the sum of its proper divisors (34862645789088).

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

21204134054112 is a wasteful number, since it uses less digits than its factorization.

21204134054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155768 (or 155760 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21204134054112 its reverse (21145043140212), we get a palindrome (42349177194324).

The spelling of 21204134054112 in words is "twenty-one trillion, two hundred four billion, one hundred thirty-four million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 10987 13344 21974 32961 43948 65922 87896 131844 144629 175792 263688 289258 351584 433887 527376 578516 867774 1054752 1157032 1527193 1735548 2314064 3054386 3471096 4581579 4628128 6108772 6942192 9163158 12217544 13884384 18326316 20103431 24435088 36652632 40206862 48870176 60310293 73305264 80413724 120620586 146610528 160827448 241241172 321654896 482482344 643309792 964964688 1589038823 1929929376 3178077646 4767116469 6356155292 9534232938 12712310584 19068465876 25424621168 38136931752 50849242336 76273863504 152547727008 220876396397 441752792794 662629189191 883505585588 1325258378382 1767011171176 2650516756764 3534022342352 5301033513528 7068044684704 10602067027056 21204134054112