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85914464075 = 52113183121421
BaseRepresentation
bin101000000000011100…
…1101010111101001011
322012202112012222102222
41100000321222331023
52401423100322300
6103245113044255
76131016616046
oct1200071527513
9265675188388
1085914464075
1133488525520
12147986b668b
1381425827bb
14423047dc5d
15237c85c785
hex1400e6af4b

85914464075 has 48 divisors (see below), whose sum is σ = 121414228992. Its totient is φ = 59738640000.

The previous prime is 85914464047. The next prime is 85914464089. The reversal of 85914464075 is 57046441958.

It is a happy number.

It is not a de Polignac number, because 85914464075 - 216 = 85914398539 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 646865 + ... + 768285.

It is an arithmetic number, because the mean of its divisors is an integer number (2529463104).

Almost surely, 285914464075 is an apocalyptic number.

85914464075 is a deficient number, since it is larger than the sum of its proper divisors (35499764917).

85914464075 is a wasteful number, since it uses less digits than its factorization.

85914464075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121556 (or 121551 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 85914464075 in words is "eighty-five billion, nine hundred fourteen million, four hundred sixty-four thousand, seventy-five".

Divisors: 1 5 11 25 31 55 83 155 275 341 415 775 913 1705 2075 2573 4565 8525 12865 22825 28303 64325 121421 141515 607105 707575 1335631 3035525 3764051 6678155 10077943 18820255 33390775 41404561 50389715 94101275 110857373 207022805 251948575 312416233 554286865 1035114025 1562081165 2771434325 3436578563 7810405825 17182892815 85914464075