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5432537212100 = 22524359179119627
BaseRepresentation
bin100111100001101110001…
…1100110110010011000100
3201020100022212012010110122
41033003130130312103010
51203001314011241400
615315401222041112
71100326223254625
oct117033434662304
921210285163418
105432537212100
111804a206a2999
12738a41879198
1330539462571b
1414ad16d2da4c
15964a5870685
hex4f0dc7364c4

5432537212100 has 144 divisors (see below), whose sum is σ = 12335847955200. Its totient is φ = 2074831624320.

The previous prime is 5432537212079. The next prime is 5432537212129. The reversal of 5432537212100 is 12127352345.

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, 45352487 + ... + 45472113.

It is an arithmetic number, because the mean of its divisors is an integer number (85665610800).

Almost surely, 25432537212100 is an apocalyptic number.

5432537212100 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 5432537212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167923977600).

5432537212100 is an abundant number, since it is smaller than the sum of its proper divisors (6903310743100).

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

5432537212100 is a wasteful number, since it uses less digits than its factorization.

5432537212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119922 (or 119915 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 5432537212100 in words is "five trillion, four hundred thirty-two billion, five hundred thirty-seven million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 59 86 100 118 172 179 215 236 295 358 430 590 716 860 895 1075 1180 1475 1790 2150 2537 2950 3580 4300 4475 5074 5900 7697 8950 10148 10561 12685 15394 17900 21122 25370 30788 38485 42244 50740 52805 63425 76970 105610 119627 126850 153940 192425 211220 239254 253700 264025 384850 454123 478508 528050 598135 769700 908246 1056100 1196270 1816492 2270615 2392540 2990675 4541230 5143961 5981350 7057993 9082460 10287922 11353075 11962700 14115986 20575844 21413233 22706150 25719805 28231972 35289965 42826466 45412300 51439610 70579930 85652932 102879220 107066165 128599025 141159860 176449825 214132330 257198050 303493699 352899650 428264660 514396100 535330825 606987398 705799300 920769019 1070661650 1213974796 1263380747 1517468495 1841538038 2141323300 2526761494 3034936990 3683076076 4603845095 5053522988 6069873980 6316903735 7587342475 9207690190 12633807470 15174684950 18415380380 23019225475 25267614940 30349369900 31584518675 46038450950 54325372121 63169037350 92076901900 108650744242 126338074700 217301488484 271626860605 543253721210 1086507442420 1358134303025 2716268606050 5432537212100