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104116753380420 = 2232511125927417577
BaseRepresentation
bin10111101011000110010010…
…000110011011010001000100
3111122122110112120002110220200
4113223012102012123101010
5102121322102331133140
61005234324242530500
730634121131412514
oct2753062206332104
9448573476073820
10104116753380420
11301a1737a68590
12b816636066a30
134613224616661
141b9d3c6215844
15c084b06c4030
hex5eb19219b444

104116753380420 has 144 divisors (see below), whose sum is σ = 344535363139968. Its totient is φ = 25240164180480.

The previous prime is 104116753380401. The next prime is 104116753380421. The reversal of 104116753380420 is 24083357611401.

104116753380420 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 16 + 7 + 533 + 80 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104116753380421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249126672 + ... + 249544248.

It is an arithmetic number, because the mean of its divisors is an integer number (2392606688472).

Almost surely, 2104116753380420 is an apocalyptic number.

104116753380420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104116753380420 is an abundant number, since it is smaller than the sum of its proper divisors (240418609759548).

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

104116753380420 is a wasteful number, since it uses less digits than its factorization.

104116753380420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543530 (or 543525 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104116753380420 in words is "one hundred four trillion, one hundred sixteen billion, seven hundred fifty-three million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 125927 251854 377781 417577 503708 629635 755562 835154 1133343 1252731 1259270 1385197 1511124 1670308 1888905 2087885 2266686 2505462 2518540 2770394 3758193 3777810 4155591 4175770 4533372 4593347 5010924 5540788 5666715 6263655 6925985 7516386 7555620 8311182 8351540 9186694 11333430 12466773 12527310 13780041 13851970 15032772 16622364 18373388 18790965 20777955 22666860 22966735 24933546 25054620 27560082 27703940 37581930 41340123 41555910 45933470 49867092 55120164 62333865 68900205 75163860 82680246 83111820 91866940 124667730 137800410 165360492 206700615 249335460 275600820 413401230 826802460 52584218879 105168437758 157752656637 210336875516 262921094395 315505313274 473257969911 525842188790 578426407669 631010626548 788763283185 946515939822 1051684377580 1156852815338 1577526566370 1735279223007 1893031879644 2313705630676 2366289849555 2892132038345 3155053132740 3470558446014 4732579699110 5205837669021 5784264076690 6941116892028 8676396115035 9465159398220 10411675338042 11568528153380 17352792230070 20823350676084 26029188345105 34705584460140 52058376690210 104116753380420