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2453145052300 = 2252295934494157
BaseRepresentation
bin100011101100101010110…
…101101110010010001100
322200111222220012121021021
4203230222311232102030
5310143020113133200
65114543112043524
7342143135616355
oct43545265562214
98614886177237
102453145052300
11866411479608
123375293935a4
1314a43b3b2807
1486a38d46d2c
1543c2a41341a
hex23b2ad6e48c

2453145052300 has 144 divisors (see below), whose sum is σ = 5603196060000. Its totient is φ = 930869524480.

The previous prime is 2453145052283. The next prime is 2453145052333. The reversal of 2453145052300 is 32505413542.

2453145052300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 590121822 + ... + 590125978.

It is an arithmetic number, because the mean of its divisors is an integer number (38911083750).

Almost surely, 22453145052300 is an apocalyptic number.

2453145052300 is a gapful number since it is divisible by the number (20) 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 2453145052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801598030000).

2453145052300 is an abundant number, since it is smaller than the sum of its proper divisors (3150051007700).

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

2453145052300 is a wasteful number, since it uses less digits than its factorization.

2453145052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 2453145052300 in words is "two trillion, four hundred fifty-three billion, one hundred forty-five million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 116 118 145 236 290 295 580 590 725 1180 1450 1475 1711 2900 2950 3422 3449 4157 5900 6844 6898 8314 8555 13796 16628 17110 17245 20785 34220 34490 41570 42775 68980 83140 85550 86225 100021 103925 120553 171100 172450 200042 203491 207850 241106 245263 344900 400084 406982 415700 482212 490526 500105 602765 813964 981052 1000210 1017455 1205530 1226315 2000420 2034910 2411060 2452630 2500525 3013825 4069820 4905260 5001050 5087275 5901239 6027650 6131575 7112627 10002100 10174550 11802478 12055300 12263150 14225254 14337493 20349100 23604956 24526300 28450508 28674986 29506195 35563135 57349972 59012390 71126270 71687465 118024780 142252540 143374930 147530975 177815675 286749860 295061950 355631350 358437325 415787297 590123900 711262700 716874650 831574594 845912087 1433749300 1663149188 1691824174 2078936485 3383648348 4157872970 4229560435 8315745940 8459120870 10394682425 16918241740 20789364850 21147802175 24531450523 41578729700 42295604350 49062901046 84591208700 98125802092 122657252615 245314505230 490629010460 613286263075 1226572526150 2453145052300