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104063683680 = 25325116569677
BaseRepresentation
bin110000011101010101…
…1011100110001100000
3100221121101011212021200
41200322223130301200
53201110300334210
6115450045521200
710342536500535
oct1407253346140
9327541155250
10104063683680
1140151266870
1218202873200
139a7569a9b8
145072a30d8c
152a90d8e0c0
hex183aadcc60

104063683680 has 144 divisors (see below), whose sum is σ = 387400772304. Its totient is φ = 25227555840.

The previous prime is 104063683679. The next prime is 104063683721. The reversal of 104063683680 is 86386360401.

104063683680 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 636 + 8 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1040636836802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268999 + ... + 3300678.

It is an arithmetic number, because the mean of its divisors is an integer number (2690283141).

Almost surely, 2104063683680 is an apocalyptic number.

104063683680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104063683680 is an abundant number, since it is smaller than the sum of its proper divisors (283337088624).

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

104063683680 is a wasteful number, since it uses less digits than its factorization.

104063683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569709 (or 6569698 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 104063683680 in words is "one hundred four billion, sixty-three million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 6569677 13139354 19709031 26278708 32848385 39418062 52557416 59127093 65696770 72266447 78836124 98545155 105114832 118254186 131393540 144532894 157672248 197090310 210229664 216799341 236508372 262787080 289065788 295635465 315344496 361332235 394180620 433598682 473016744 525574160 578131576 591270930 630688992 650398023 722664470 788361240 867197364 946033488 1051148320 1083996705 1156263152 1182541860 1300796046 1445328940 1576722480 1734394728 1892066976 2167993410 2312526304 2365083720 2601592092 2890657880 3153444960 3251990115 3468789456 4335986820 4730167440 5203184184 5781315760 6503980230 6937578912 8671973640 9460334880 10406368368 11562631520 13007960460 17343947280 20812736736 26015920920 34687894560 52031841840 104063683680