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81346170240 = 273354707533
BaseRepresentation
bin100101111000010011…
…1000000110110000000
321202222011011121102000
41023300213000312000
52313044104421430
6101211522424000
75606556016116
oct1136047006600
9252864147360
1081346170240
1131553879775
1213922802000
137894cb6c5a
143d19877ab6
1521b177de60
hex12f09c0d80

81346170240 has 128 divisors (see below), whose sum is σ = 288101080800. Its totient is φ = 21692307456.

The previous prime is 81346170193. The next prime is 81346170251. The reversal of 81346170240 is 4207164318.

81346170240 is a `hidden beast` number, since 8 + 1 + 34 + 617 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 81346170195 and 81346170204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2336487 + ... + 2371046.

Almost surely, 281346170240 is an apocalyptic number.

81346170240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81346170240 is an abundant number, since it is smaller than the sum of its proper divisors (206754910560).

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

81346170240 is a wasteful number, since it uses less digits than its factorization.

81346170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707561 (or 4707543 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 81346170240 in words is "eighty-one billion, three hundred forty-six million, one hundred seventy thousand, two hundred forty".

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 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 4707533 9415066 14122599 18830132 23537665 28245198 37660264 42367797 47075330 56490396 70612995 75320528 84735594 94150660 112980792 127103391 141225990 150641056 169471188 188301320 211838985 225961584 254206782 282451980 301282112 338942376 376602640 423677970 451923168 508413564 564903960 602564224 635516955 677884752 753205280 847355940 903846336 1016827128 1129807920 1271033910 1355769504 1506410560 1694711880 1807692672 2033654256 2259615840 2542067820 2711539008 3012821120 3389423760 4067308512 4519231680 5084135640 5423078016 6778847520 8134617024 9038463360 10168271280 13557695040 16269234048 20336542560 27115390080 40673085120 81346170240