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816027574840 = 235371815475569
BaseRepresentation
bin10111101111111110000…
…10001010001000111000
32220000022100211220100121
423313333002022020320
5101332211024343330
61422513342543024
7112645631640322
oct13677702121070
92800270756317
10816027574840
11295091323a15
12112199b97a74
135bc49668a7a
142b6d2c34612
151636043317a
hexbdff08a238

816027574840 has 128 divisors (see below), whose sum is σ = 1899910958400. Its totient is φ = 315200471040.

The previous prime is 816027574807. The next prime is 816027574853. The reversal of 816027574840 is 48475720618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146527576 + ... + 146533144.

Almost surely, 2816027574840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816027574840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949955479200).

816027574840 is an abundant number, since it is smaller than the sum of its proper divisors (1083883383560).

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

816027574840 is a wasteful number, since it uses less digits than its factorization.

816027574840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 816027574840 in words is "eight hundred sixteen billion, twenty-seven million, five hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 181 185 296 362 370 547 724 740 905 1094 1448 1480 1810 2188 2735 3620 4376 5470 5569 6697 7240 10940 11138 13394 20239 21880 22276 26788 27845 33485 40478 44552 53576 55690 66970 80956 99007 101195 111380 133940 161912 198014 202390 206053 222760 267880 396028 404780 412106 495035 792056 809560 824212 990070 1007989 1030265 1648424 1980140 2015978 2060530 3046243 3663259 3960280 4031956 4121060 5039945 6092486 7326518 8063912 8242120 10079890 12184972 14653036 15231215 18316295 20159780 24369944 29306072 30462430 36632590 37295593 40319560 60924860 73265180 74591186 112710991 121849720 146530360 149182372 186477965 225421982 298364744 372955930 450843964 551369983 563554955 745911860 901687928 1102739966 1127109910 1491823720 2205479932 2254219820 2756849915 4410959864 4508439640 5513699830 11027399660 20400689371 22054799320 40801378742 81602757484 102003446855 163205514968 204006893710 408013787420 816027574840