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2102854086240 = 253526331663861
BaseRepresentation
bin11110100110011011110…
…111101110111001100000
321110000211111221210111120
4132212123313232321200
5233423121121224430
64250012101012240
7304632453545505
oct36463367567140
97400744853446
102102854086240
117408a7346146
1229b6696b4080
131233b545a32b
1473ac89b34ac
1539a77a87610
hex1e99bdeee60

2102854086240 has 96 divisors (see below), whose sum is σ = 6626510112096. Its totient is φ = 560547778560.

The previous prime is 2102854086233. The next prime is 2102854086287. The reversal of 2102854086240 is 426804582012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×21028540862403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102854086192 and 2102854086201.

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, 431910 + ... + 2095770.

It is an arithmetic number, because the mean of its divisors is an integer number (69026147001).

Almost surely, 22102854086240 is an apocalyptic number.

2102854086240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102854086240 is an abundant number, since it is smaller than the sum of its proper divisors (4523656025856).

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

2102854086240 is a wasteful number, since it uses less digits than its factorization.

2102854086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666512 (or 1666504 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 2102854086240 in words is "two trillion, one hundred two billion, eight hundred fifty-four million, eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2633 5266 7899 10532 13165 15798 21064 26330 31596 39495 42128 52660 63192 78990 84256 105320 126384 157980 210640 252768 315960 421280 631920 1263840 1663861 3327722 4991583 6655444 8319305 9983166 13310888 16638610 19966332 24957915 26621776 33277220 39932664 49915830 53243552 66554440 79865328 99831660 133108880 159730656 199663320 266217760 399326640 798653280 4380946013 8761892026 13142838039 17523784052 21904730065 26285676078 35047568104 43809460130 52571352156 65714190195 70095136208 87618920260 105142704312 131428380390 140190272416 175237840520 210285408624 262856760780 350475681040 420570817248 525713521560 700951362080 1051427043120 2102854086240