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681467748480 = 2734513145597
BaseRepresentation
bin10011110101010101010…
…01001010000010000000
32102010222122210110220000
421322222221022002000
542131121220422410
61241021214520000
7100143256200501
oct11725251120200
92363878713800
10681467748480
11243010861852
12b00a6206000
134c353ba183c
1424da9d28ba8
1512ad7114dc0
hex9eaaa4a080

681467748480 has 160 divisors (see below), whose sum is σ = 2433644557740. Its totient is φ = 181724719104.

The previous prime is 681467748473. The next prime is 681467748527. The reversal of 681467748480 is 84847764186.

681467748480 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 6 + 77 + 484 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 645528688704 + 35939059776 = 803448^2 + 189576^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6520959 + ... + 6624638.

Almost surely, 2681467748480 is an apocalyptic number.

681467748480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681467748480 is an abundant number, since it is smaller than the sum of its proper divisors (1752176809260).

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

681467748480 is a wasteful number, since it uses less digits than its factorization.

681467748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145628 (or 13145607 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 681467748480 in words is "six hundred eighty-one billion, four hundred sixty-seven million, seven hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 13145597 26291194 39436791 52582388 65727985 78873582 105164776 118310373 131455970 157747164 197183955 210329552 236620746 262911940 315494328 354931119 394367910 420659104 473241492 525823880 591551865 630988656 709862238 788735820 841318208 946482984 1051647760 1064793357 1183103730 1261977312 1419724476 1577471640 1682636416 1774655595 1892965968 2103295520 2129586714 2366207460 2523954624 2839448952 3154943280 3549311190 3785931936 4206591040 4259173428 4732414920 5047909248 5323966785 5678897904 6309886560 7098622380 7571863872 8413182080 8518346856 9464829840 10647933570 11357795808 12619773120 14197244760 15143727744 17036693712 18929659680 21295867140 22715591616 25239546240 28394489520 34073387424 37859319360 42591734280 45431183232 56788979040 68146774848 75718638720 85183468560 113577958080 136293549696 170366937120 227155916160 340733874240 681467748480