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104398466467790 = 251141251320328793
BaseRepresentation
bin10111101111001100101001…
…100000100100011111001110
3111200122101200121222002111102
4113233030221200210133032
5102140431024403432130
61010011554324023102
730663353215222115
oct2757145140443716
9450571617862442
10104398466467790
11302a0160727750
12b861157231a92
13463396b949ab1
141baccac7a2c7c
15c1099c703645
hex5ef3298247ce

104398466467790 has 128 divisors (see below), whose sum is σ = 210910445996544. Its totient is φ = 36876793600000.

The previous prime is 104398466467759. The next prime is 104398466467829. The reversal of 104398466467790 is 97764664893401.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3625813634 + ... + 3625842426.

It is an arithmetic number, because the mean of its divisors is an integer number (1647737859348).

Almost surely, 2104398466467790 is an apocalyptic number.

104398466467790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104398466467790 is an abundant number, since it is smaller than the sum of its proper divisors (106511979528754).

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

104398466467790 is a wasteful number, since it uses less digits than its factorization.

104398466467790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32306.

The product of its (nonzero) digits is 1316818944, while the sum is 74.

The spelling of 104398466467790 in words is "one hundred four trillion, three hundred ninety-eight billion, four hundred sixty-six million, four hundred sixty-seven thousand, seven hundred ninety".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 251 410 451 502 902 1255 2255 2510 2761 3203 4510 5522 6406 10291 13805 16015 20582 27610 28793 32030 35233 51455 57586 70466 102910 113201 131323 143965 176165 226402 262646 287930 316723 352330 566005 633446 656615 803953 1132010 1180513 1313230 1444553 1583615 1607906 2361026 2889106 3167230 4019765 5902565 7222765 7227043 8039530 8843483 11805130 12985643 14445530 14454086 17686966 25971286 32962073 36135215 44217415 64928215 65924146 72270430 79497473 88434830 92223979 129856430 158994946 164810365 184447958 296308763 329620730 362582803 397487365 461119895 592617526 725165606 794974730 922239790 1014463769 1481543815 1812914015 2028927538 2963087630 3259396393 3625828030 3781183139 5072318845 6518792786 7562366278 10144637690 16296981965 18905915695 23148218729 32593963930 37811831390 41593014529 46296437458 83186029058 115741093645 207965072645 231482187290 254630406019 415930145290 509260812038 949076967889 1273152030095 1898153935778 2546304060190 4745384839445 9490769678890 10439846646779 20879693293558 52199233233895 104398466467790