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85668845757 = 31121144327773
BaseRepresentation
bin100111111001001000…
…0101101100010111101
322012010102001021110020
41033302100231202331
52400422211031012
6103204500402353
76121645113465
oct1176220554275
9265112037406
1085668845757
1133371914880
121472a3a63b9
138103715611
1442099c4ba5
152365ee1a8c
hex13f242d8bd

85668845757 has 32 divisors (see below), whose sum is σ = 125486931456. Its totient is φ = 51555940800.

The previous prime is 85668845737. The next prime is 85668845767. The reversal of 85668845757 is 75754886658.

It is not a de Polignac number, because 85668845757 - 210 = 85668844733 is a prime.

It is a super-2 number, since 2×856688457572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85668845691 and 85668845700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85668845737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070723 + ... + 3098495.

It is an arithmetic number, because the mean of its divisors is an integer number (3921466608).

Almost surely, 285668845757 is an apocalyptic number.

It is an amenable number.

85668845757 is a deficient number, since it is larger than the sum of its proper divisors (39818085699).

85668845757 is a wasteful number, since it uses less digits than its factorization.

85668845757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28441.

The product of its digits is 451584000, while the sum is 69.

The spelling of 85668845757 in words is "eighty-five billion, six hundred sixty-eight million, eight hundred forty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 11 33 211 443 633 1329 2321 4873 6963 14619 27773 83319 93473 280419 305503 916509 1028203 3084609 5860103 12303439 17580309 36910317 64461133 135337829 193383399 406013487 2596025629 7788076887 28556281919 85668845757