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52500003120 = 24335152315959
BaseRepresentation
bin110000111001001111…
…100111100100110000
312000111211000111012000
4300321033213210300
51330010000044440
640041305134000
73535666443405
oct607117474460
9160454014160
1052500003120
11202a0979434
12a21218a300
134c489a0706
1427807822ac
1515740c1730
hexc393e7930

52500003120 has 160 divisors (see below), whose sum is σ = 180963417600. Its totient is φ = 13989931776.

The previous prime is 52500003091. The next prime is 52500003131. The reversal of 52500003120 is 2130000525.

It is a happy number.

52500003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52500003093 and 52500003102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3281701 + ... + 3297659.

It is an arithmetic number, because the mean of its divisors is an integer number (1131021360).

Almost surely, 252500003120 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 52500003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90481708800).

52500003120 is an abundant number, since it is smaller than the sum of its proper divisors (128463414480).

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

52500003120 is a wasteful number, since it uses less digits than its factorization.

52500003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17504 (or 17492 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 52500003120 its reverse (2130000525), we get a palindrome (54630003645).

The spelling of 52500003120 in words is "fifty-two billion, five hundred million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1523 2160 3046 4569 6092 7615 9138 12184 13707 15230 15959 18276 22845 24368 27414 30460 31918 36552 41121 45690 47877 54828 60920 63836 68535 73104 79795 82242 91380 95754 109656 121840 127672 137070 143631 159590 164484 182760 191508 205605 219312 239385 255344 274140 287262 319180 328968 365520 383016 411210 430893 478770 548280 574524 638360 657936 718155 766032 822420 861786 957540 1096560 1149048 1276720 1436310 1644840 1723572 1915080 2154465 2298096 2872620 3289680 3447144 3830160 4308930 5745240 6894288 8617860 11490480 17235720 24305557 34471440 48611114 72916671 97222228 121527785 145833342 194444456 218750013 243055570 291666684 364583355 388888912 437500026 486111140 583333368 656250039 729166710 875000052 972222280 1093750065 1166666736 1312500078 1458333420 1750000104 1944444560 2187500130 2625000156 2916666840 3281250195 3500000208 4375000260 5250000312 5833333680 6562500390 8750000520 10500000624 13125000780 17500001040 26250001560 52500003120