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82775087748 = 22322299307993
BaseRepresentation
bin100110100010111000…
…1111001101010000100
321220122201221010201200
41031011301321222010
52324010410301443
6102005405222500
75660146431303
oct1150561715204
9256581833650
1082775087748
1132117419631
1214061261a30
137a6204ba82
14401355643a
152246e36dd3
hex1345c79a84

82775087748 has 18 divisors (see below), whose sum is σ = 209237027454. Its totient is φ = 27591695904.

The previous prime is 82775087743. The next prime is 82775087767. The reversal of 82775087748 is 84778057728.

82775087748 is a `hidden beast` number, since 82 + 7 + 7 + 508 + 7 + 7 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78488504964 + 4286582784 = 280158^2 + 65472^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (63) 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 (82775087743) 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 5 ways as a sum of consecutive naturals, for example, 1149653961 + ... + 1149654032.

It is an arithmetic number, because the mean of its divisors is an integer number (11624279303).

Almost surely, 282775087748 is an apocalyptic number.

It is an amenable number.

82775087748 is an abundant number, since it is smaller than the sum of its proper divisors (126461939706).

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

82775087748 is a wasteful number, since it uses less digits than its factorization.

82775087748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299308003 (or 2299307998 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 82775087748 in words is "eighty-two billion, seven hundred seventy-five million, eighty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2299307993 4598615986 6897923979 9197231972 13795847958 20693771937 27591695916 41387543874 82775087748