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53148324816300 = 22352736436947221
BaseRepresentation
bin11000001010110100011110…
…00001010110010110101100
320222011221010010201220102210
430011122033001112112230
523431240232123110200
6305012000420250420
714123561015003040
oct1405321701262654
9228157103656383
1053148324816300
1115a3109486a67a
125b64602540a10
132386b3373446c
14d1a56d5ca020
1562279ad82650
hex30568f0565ac

53148324816300 has 144 divisors (see below), whose sum is σ = 175792060865792. Its totient is φ = 12144852115200.

The previous prime is 53148324816263. The next prime is 53148324816313. The reversal of 53148324816300 is 361842384135.

It is a self number, because there is not a number n which added to its sum of digits gives 53148324816300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4176690 + ... + 11123910.

Almost surely, 253148324816300 is an apocalyptic number.

53148324816300 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 53148324816300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87896030432896).

53148324816300 is an abundant number, since it is smaller than the sum of its proper divisors (122643736049492).

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

53148324816300 is a wasteful number, since it uses less digits than its factorization.

53148324816300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950888 (or 6950881 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 53148324816300 in words is "fifty-three trillion, one hundred forty-eight billion, three hundred twenty-four million, eight hundred sixteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3643 7286 10929 14572 18215 21858 25501 36430 43716 51002 54645 72860 76503 91075 102004 109290 127505 153006 182150 218580 255010 273225 306012 364300 382515 510020 546450 637525 765030 1092900 1275050 1530060 1912575 2550100 3825150 6947221 7650300 13894442 20841663 27788884 34736105 41683326 48630547 69472210 83366652 97261094 104208315 138944420 145891641 173680525 194522188 208416630 243152735 291783282 347361050 416833260 486305470 521041575 583566564 694722100 729458205 972610940 1042083150 1215763675 1458916410 2084166300 2431527350 2917832820 3647291025 4863054700 7294582050 14589164100 25308726103 50617452206 75926178309 101234904412 126543630515 151852356618 177161082721 253087261030 303704713236 354322165442 379630891545 506174522060 531483248163 632718152575 708644330884 759261783090 885805413605 1062966496326 1265436305150 1518523566180 1771610827210 1898154457725 2125932992652 2530872610300 2657416240815 3543221654420 3796308915450 4429027068025 5314832481630 7592617830900 8858054136050 10629664963260 13287081204075 17716108272100 26574162408150 53148324816300