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3685682063100 = 2235247972694803
BaseRepresentation
bin110101101000100011110…
…001010010011011111100
3111001100101112001010011210
4311220203301102123330
5440341234102004400
611501102353444420
7530165431425252
oct65504361223374
914040345033153
103685682063100
1111a10a8491474
124b6387570710
1320973484cb1b
14ca5608025d2
1565d16814950
hex35a23c526fc

3685682063100 has 144 divisors (see below), whose sum is σ = 11003078757888. Its totient is φ = 952019650560.

The previous prime is 3685682063027. The next prime is 3685682063117. The reversal of 3685682063100 is 13602865863.

It is a super-2 number, since 2×36856820631002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3685682063100.

It is a congruent number.

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, 20299 + ... + 2715101.

It is an arithmetic number, because the mean of its divisors is an integer number (76410269152).

Almost surely, 23685682063100 is an apocalyptic number.

3685682063100 is a gapful number since it is divisible by the number (30) 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 3685682063100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501539378944).

3685682063100 is an abundant number, since it is smaller than the sum of its proper divisors (7317396694788).

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

3685682063100 is a wasteful number, since it uses less digits than its factorization.

3685682063100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694964 (or 2694957 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3685682063100 in words is "three trillion, six hundred eighty-five billion, six hundred eighty-two million, sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 97 100 141 150 188 194 235 282 291 300 388 470 485 564 582 705 940 970 1164 1175 1410 1455 1940 2350 2425 2820 2910 3525 4559 4700 4850 5820 7050 7275 9118 9700 13677 14100 14550 18236 22795 27354 29100 45590 54708 68385 91180 113975 136770 227950 273540 341925 455900 683850 1367700 2694803 5389606 8084409 10779212 13474015 16168818 26948030 32337636 40422045 53896060 67370075 80844090 126655741 134740150 161688180 202110225 253311482 261395891 269480300 379967223 404220450 506622964 522791782 633278705 759934446 784187673 808440900 1045583564 1266557410 1306979455 1519868892 1568375346 1899836115 2533114820 2613958910 3136750692 3166393525 3799672230 3920938365 5227917820 6332787050 6534897275 7599344460 7841876730 9499180575 12285606877 12665574100 13069794550 15683753460 18998361150 19604691825 24571213754 26139589100 36856820631 37996722300 39209383650 49142427508 61428034385 73713641262 78418767300 122856068770 147427282524 184284103155 245712137540 307140171925 368568206310 614280343850 737136412620 921420515775 1228560687700 1842841031550 3685682063100