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85901043741 = 3173174373127
BaseRepresentation
bin101000000000000011…
…0011110100000011101
322012201120222011012120
41100000012132200131
52401411131344431
6103243513253153
76130464552522
oct1200006364035
9265646864176
1085901043741
1133480999637
12147941041b9
13813c864186
14422c789149
15237b5ab196
hex140019e81d

85901043741 has 32 divisors (see below), whose sum is σ = 125354262528. Its totient is φ = 52089112320.

The previous prime is 85901043737. The next prime is 85901043779. The reversal of 85901043741 is 14734010958.

It is a happy number.

It is not a de Polignac number, because 85901043741 - 22 = 85901043737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85901043693 and 85901043702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85901047741) 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 31 ways as a sum of consecutive naturals, for example, 1138120 + ... + 1211246.

It is an arithmetic number, because the mean of its divisors is an integer number (3917320704).

Almost surely, 285901043741 is an apocalyptic number.

It is an amenable number.

85901043741 is a deficient number, since it is larger than the sum of its proper divisors (39453218787).

85901043741 is a wasteful number, since it uses less digits than its factorization.

85901043741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73921.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 85901043741 in words is "eighty-five billion, nine hundred one million, forty-three thousand, seven hundred forty-one".

Divisors: 1 3 17 31 51 93 527 743 1581 2229 12631 23033 37893 69099 73127 219381 391561 1174683 1243159 2266937 3729477 6800811 38537929 54333361 115613787 163000083 923667137 1684334191 2771001411 5053002573 28633681247 85901043741