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81447635760 = 2435511366373
BaseRepresentation
bin100101111011010101…
…0000100101100110000
321210020020002120221020
41023312222010230300
52313301043321020
6101225545255440
75612230324011
oct1136652045460
9253206076836
1081447635760
11315a6081277
1213950794580
1378b002181a
143d2912b008
1521ba622c40
hex12f6a84b30

81447635760 has 80 divisors (see below), whose sum is σ = 252540857184. Its totient is φ = 21714794496.

The previous prime is 81447635707. The next prime is 81447635767. The reversal of 81447635760 is 6753674418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (81447635767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1193934 + ... + 1260306.

Almost surely, 281447635760 is an apocalyptic number.

81447635760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81447635760 is an abundant number, since it is smaller than the sum of its proper divisors (171093221424).

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

81447635760 is a wasteful number, since it uses less digits than its factorization.

81447635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71502 (or 71496 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 81447635760 in words is "eighty-one billion, four hundred forty-seven million, six hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5113 10226 15339 20452 25565 30678 40904 51130 61356 66373 76695 81808 102260 122712 132746 153390 199119 204520 245424 265492 306780 331865 398238 409040 530984 613560 663730 796476 995595 1061968 1227120 1327460 1592952 1991190 2654920 3185904 3982380 5309840 7964760 15929520 339365149 678730298 1018095447 1357460596 1696825745 2036190894 2714921192 3393651490 4072381788 5090477235 5429842384 6787302980 8144763576 10180954470 13574605960 16289527152 20361908940 27149211920 40723817880 81447635760