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82424956977 = 32111771689789
BaseRepresentation
bin100110011000011101…
…0010000100000110001
321212202100002122121100
41030300322100200301
52322301242110402
6101510540515013
75645365401006
oct1146072204061
9255670078540
1082424956977
1131a57815160
1213b83b4ba69
137a0764b1bc
143dbcc538ad
15222632471c
hex1330e90831

82424956977 has 48 divisors (see below), whose sum is σ = 139458983040. Its totient is φ = 46353753600.

The previous prime is 82424956961. The next prime is 82424956981. The reversal of 82424956977 is 77965942428.

82424956977 is a `hidden beast` number, since 8 + 24 + 2 + 49 + 569 + 7 + 7 = 666.

It is not a de Polignac number, because 82424956977 - 24 = 82424956961 is a prime.

It is a super-3 number, since 3×824249569773 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82424956937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225402 + ... + 464387.

It is an arithmetic number, because the mean of its divisors is an integer number (2905395480).

Almost surely, 282424956977 is an apocalyptic number.

It is an amenable number.

82424956977 is a deficient number, since it is larger than the sum of its proper divisors (57034026063).

82424956977 is a wasteful number, since it uses less digits than its factorization.

82424956977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689894 (or 689891 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 82424956977 in words is "eighty-two billion, four hundred twenty-four million, nine hundred fifty-six thousand, nine hundred seventy-seven".

Divisors: 1 3 9 11 17 33 51 71 99 153 187 213 561 639 781 1207 1683 2343 3621 7029 10863 13277 39831 119493 689789 2069367 6208101 7587679 11726413 22763037 35179239 48975019 68289111 105537717 128990543 146925057 386971629 440775171 538725209 832575323 1160914887 1616175627 2497725969 4848526881 7493177907 9158328553 27474985659 82424956977