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82779345796 = 2272205512
BaseRepresentation
bin100110100011000001…
…0001001001110000100
321220200000221110200011
41031012002021032010
52324013003031141
6102010040400004
75660230554400
oct1150602111604
9256600843604
1082779345796
1132119867784
1214062776004
137a62bacc24
144013d44100
1522474c8881
hex1346089384

82779345796 has 27 divisors (see below), whose sum is σ = 168523297047. Its totient is φ = 35475136200.

The previous prime is 82779345769. The next prime is 82779345799. The reversal of 82779345796 is 69754397728.

The square root of 82779345796 is 287714.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (82779345799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4017721 + ... + 4038271.

Almost surely, 282779345796 is an apocalyptic number.

82779345796 is the 287714-th square number.

It is an amenable number.

82779345796 is an abundant number, since it is smaller than the sum of its proper divisors (85743951251).

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

82779345796 is an frugal number, since it uses more digits than its factorization.

82779345796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120 (or 20560 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 67.

The spelling of 82779345796 in words is "eighty-two billion, seven hundred seventy-nine million, three hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 20551 41102 82204 143857 287714 575428 1006999 2013998 4027996 422343601 844687202 1689374404 2956405207 5912810414 11825620828 20694836449 41389672898 82779345796