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5283348433825 = 5272111316774421
BaseRepresentation
bin100110011100010000000…
…0110110100101110100001
3200201002020122011221121011
41030320200012310232201
51143030244144340300
615123045312500521
71053465204465400
oct114704006645641
920632218157534
105283348433825
1117577234aa720
12713b4684a741
132c42aa157b27
14143a031c9637
15926730d2eba
hex4ce201b4ba1

5283348433825 has 144 divisors (see below), whose sum is σ = 8391510819648. Its totient is φ = 3262808640000.

The previous prime is 5283348433793. The next prime is 5283348433859.

5283348433825 is nontrivially palindromic in base 10.

5283348433825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5283348433825 - 25 = 5283348433793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5283348433825.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1195055115 + ... + 1195059535.

It is an arithmetic number, because the mean of its divisors is an integer number (58274380692).

Almost surely, 25283348433825 is an apocalyptic number.

5283348433825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5283348433825 is a deficient number, since it is larger than the sum of its proper divisors (3108162385823).

5283348433825 is a wasteful number, since it uses less digits than its factorization.

5283348433825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5252 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 5283348433825 in words is "five trillion, two hundred eighty-three billion, three hundred forty-eight million, four hundred thirty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 131 175 245 275 385 539 655 677 917 1225 1441 1925 2695 3275 3385 4421 4585 4739 6419 7205 7447 10087 13475 16925 22105 22925 23695 30947 32095 33173 36025 37235 48631 50435 52129 70609 88687 110525 118475 154735 160475 165865 186175 216629 243155 252175 260645 340417 353045 364903 443435 579151 620809 773675 829325 975557 1083145 1215775 1303225 1702085 1765225 1824515 2217175 2382919 2895755 2993017 3104045 4054057 4345663 4877785 5415725 6370661 6828899 8510425 9122575 11914595 14478775 14965085 15520225 20270285 20951119 21728315 24388925 28378399 31853305 32923187 34144495 44594627 47802293 59572975 74825425 101351425 104755595 108641575 141891995 146657833 159266525 164615935 170722475 222973135 230462309 239011465 312162389 392085227 523777975 709459975 733289165 823079675 1114865675 1152311545 1195057325 1560811945 1613236163 1960426135 2744596589 3666445825 4312937497 5761557725 7804059725 8066180815 9802130675 13722982945 19212176123 21564687485 30190562479 40330904075 68614914725 96060880615 107823437425 150952812395 211333937353 480304403075 754764061975 1056669686765 5283348433825