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7438823148071 = 713766111735029
BaseRepresentation
bin110110000111111110001…
…1010010100101000100111
3222100010220101010121112002
41230033330122110220213
51433334202211214241
623453203112315515
71365302654323640
oct154177432245047
928303811117462
107438823148071
112408872812487
12a0183a9a2b9b
1341c62a26b023
141ba0805806c7
15cd77a61789b
hex6c3fc694a27

7438823148071 has 16 divisors (see below), whose sum is σ = 8576523205440. Its totient is φ = 6320016679680.

The previous prime is 7438823148049. The next prime is 7438823148077. The reversal of 7438823148071 is 1708413288347.

It is a cyclic number.

It is not a de Polignac number, because 7438823148071 - 222 = 7438818953767 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7438823147998 and 7438823148016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438823148077) 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 15 ways as a sum of consecutive naturals, for example, 5233616 + ... + 6501413.

It is an arithmetic number, because the mean of its divisors is an integer number (536032700340).

Almost surely, 27438823148071 is an apocalyptic number.

7438823148071 is a deficient number, since it is larger than the sum of its proper divisors (1137700057369).

7438823148071 is a wasteful number, since it uses less digits than its factorization.

7438823148071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735834.

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 7438823148071 in words is "seven trillion, four hundred thirty-eight billion, eight hundred twenty-three million, one hundred forty-eight thousand, seventy-one".

Divisors: 1 7 137 661 959 4627 90557 633899 11735029 82145203 1607698973 7756854169 11253892811 54297979183 1062689021153 7438823148071