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53015525144000 = 26538167811429
BaseRepresentation
bin11000000110111101000111…
…00010110011010111000000
320221201020100002201120102022
430003132203202303113000
523422101243414102000
6304430555050341012
714111150064263546
oct1403364342632700
9227636302646368
1053015525144000
111598a837917291
125b4292012a768
13237745b818903
14d13d72383d96
1561e0c734b585
hex3037a38b35c0

53015525144000 has 112 divisors (see below), whose sum is σ = 131309185874880. Its totient is φ = 21203587353600.

The previous prime is 53015525143993. The next prime is 53015525144009. The reversal of 53015525144000 is 44152551035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53015525144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64930286 + ... + 65741714.

Almost surely, 253015525144000 is an apocalyptic number.

53015525144000 is a gapful number since it is divisible by the number (50) 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 53015525144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65654592937440).

53015525144000 is an abundant number, since it is smaller than the sum of its proper divisors (78293660730880).

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

53015525144000 is an equidigital number, since it uses as much as digits as its factorization.

53015525144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819623 (or 819603 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 53015525144000 its reverse (44152551035), we get a palindrome (53059677695035).

The spelling of 53015525144000 in words is "fifty-three trillion, fifteen billion, five hundred twenty-five million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 8167 16334 32668 40835 65336 81670 130672 163340 204175 261344 326680 408350 522688 653360 811429 816700 1020875 1306720 1622858 1633400 2041750 2613440 3245716 3266800 4057145 4083500 6491432 6533600 8114290 8167000 12982864 13067200 16228580 16334000 20285725 25965728 32457160 32668000 40571450 51931456 64914320 65336000 81142900 101428625 129828640 162285800 202857250 259657280 324571600 405714500 649143200 811429000 1298286400 1622858000 3245716000 6491432000 6626940643 13253881286 26507762572 33134703215 53015525144 66269406430 106031050288 132538812860 165673516075 212062100576 265077625720 331347032150 424124201152 530155251440 662694064300 828367580375 1060310502880 1325388128600 1656735160750 2120621005760 2650776257200 3313470321500 5301552514400 6626940643000 10603105028800 13253881286000 26507762572000 53015525144000