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82781960112 = 24321009569747
BaseRepresentation
bin100110100011000110…
…0000111011110110000
321220200012212021211200
41031012030013132300
52324014140210422
6102010212411200
75660262023325
oct1150614073660
9256605767750
1082781960112
1132120292975
1214063616b00
137a635b6b67
144014424b4c
1522478432ac
hex13463077b0

82781960112 has 60 divisors (see below), whose sum is σ = 231904528440. Its totient is φ = 27566590464.

The previous prime is 82781960057. The next prime is 82781960119. The reversal of 82781960112 is 21106918728.

82781960112 is a `hidden beast` number, since 8 + 27 + 8 + 1 + 9 + 601 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (82781960119) 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 11 ways as a sum of consecutive naturals, for example, 139578 + ... + 430169.

It is an arithmetic number, because the mean of its divisors is an integer number (3865075474).

Almost surely, 282781960112 is an apocalyptic number.

It is an amenable number.

82781960112 is an abundant number, since it is smaller than the sum of its proper divisors (149122568328).

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

82781960112 is a wasteful number, since it uses less digits than its factorization.

82781960112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570770 (or 570761 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 82781960112 in words is "eighty-two billion, seven hundred eighty-one million, nine hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1009 2018 3027 4036 6054 8072 9081 12108 16144 18162 24216 36324 48432 72648 145296 569747 1139494 1709241 2278988 3418482 4557976 5127723 6836964 9115952 10255446 13673928 20510892 27347856 41021784 82043568 574874723 1149749446 1724624169 2299498892 3449248338 4598997784 5173872507 6898496676 9197995568 10347745014 13796993352 20695490028 27593986704 41390980056 82781960112