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53003534315300 = 2252127267748541
BaseRepresentation
bin11000000110100110110001…
…10101011010111100100100
320221200002101102212100201122
430003103120311122330210
523421402214241042200
6304421253145313112
714110243664025362
oct1403233065327444
9227602342770648
1053003534315300
111598574435a1a8
125b40534495798
13237629a5456ba
14d13555a72632
1561db247dd385
hex3034d8d5af24

53003534315300 has 108 divisors (see below), whose sum is σ = 116104084777044. Its totient is φ = 21002970643200.

The previous prime is 53003534315299. The next prime is 53003534315357. The reversal of 53003534315300 is 351343530035.

It can be written as a sum of positive squares in 6 ways, for example, as 751078755904 + 52252455559396 = 866648^2 + 7228586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1091909030 + ... + 1091957570.

Almost surely, 253003534315300 is an apocalyptic number.

53003534315300 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 53003534315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58052042388522).

53003534315300 is an abundant number, since it is smaller than the sum of its proper divisors (63100550461744).

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

53003534315300 is a wasteful number, since it uses less digits than its factorization.

53003534315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49486 (or 49352 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 35.

Adding to 53003534315300 its reverse (351343530035), we get a palindrome (53354877845335).

The spelling of 53003534315300 in words is "fifty-three trillion, three billion, five hundred thirty-four million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 677 1270 1354 2540 2708 3175 3385 6350 6770 12700 13540 16129 16925 32258 33850 48541 64516 67700 80645 85979 97082 161290 171958 194164 242705 322580 343916 403225 429895 485410 806450 859790 970820 1213525 1612900 1719580 2149475 2427050 4298950 4854100 6164707 8597900 10919333 12329414 21838666 24658828 30823535 32862257 43677332 54596665 61647070 65724514 109193330 123294140 131449028 154117675 164311285 218386660 272983325 308235350 328622570 545966650 616470700 657245140 782917789 821556425 1091933300 1565835578 1643112850 3131671156 3286225700 3914588945 4173506639 7829177890 8347013278 15658355780 16694026556 19572944725 20867533195 39145889450 41735066390 78291778900 83470132780 104337665975 208675331950 417350663900 530035343153 1060070686306 2120141372612 2650176715765 5300353431530 10600706863060 13250883578825 26501767157650 53003534315300