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248808823796 = 22137365545001
BaseRepresentation
bin1110011110111000101…
…0010101101111110100
3212210012220200211120002
43213232022111233310
513034030024330141
6310145020330432
723655500051561
oct3475612255764
9783186624502
10248808823796
1196579104a05
12402796a3a18
131a602366ac0
14c08453b868
156713472e9b
hex39ee295bf4

248808823796 has 24 divisors (see below), whose sum is σ = 475332354504. Its totient is φ = 113261760000.

The previous prime is 248808823793. The next prime is 248808823799. The reversal of 248808823796 is 697328808842.

It is an interprime number because it is at equal distance from previous prime (248808823793) and next prime (248808823799).

It can be written as a sum of positive squares in 4 ways, for example, as 23149622500 + 225659201296 = 152150^2 + 475036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248808823793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32768705 + ... + 32776296.

It is an arithmetic number, because the mean of its divisors is an integer number (19805514771).

Almost surely, 2248808823796 is an apocalyptic number.

248808823796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248808823796 is a deficient number, since it is larger than the sum of its proper divisors (226523530708).

248808823796 is a wasteful number, since it uses less digits than its factorization.

248808823796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65545091 (or 65545089 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 65.

The spelling of 248808823796 in words is "two hundred forty-eight billion, eight hundred eight million, eight hundred twenty-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 13 26 52 73 146 292 949 1898 3796 65545001 131090002 262180004 852085013 1704170026 3408340052 4784785073 9569570146 19139140292 62202205949 124404411898 248808823796