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85901667241 = 132829613141
BaseRepresentation
bin101000000000000100…
…0110110101110101001
322012201122010211111011
41100000020312232221
52401411311322431
6103243534503521
76130503060355
oct1200010665651
9265648124434
1085901667241
1133481285025
1214794364ba1
13813ca21c00
14422c8ac465
15237b680cb1
hex1400236ba9

85901667241 has 12 divisors (see below), whose sum is σ = 93130138380. Its totient is φ = 79198067520.

The previous prime is 85901667223. The next prime is 85901667263. The reversal of 85901667241 is 14276610958.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18407705625 + 67493961616 = 135675^2 + 259796^2 .

It is not a de Polignac number, because 85901667241 - 27 = 85901667113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85901667211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166470 + ... + 446671.

It is an arithmetic number, because the mean of its divisors is an integer number (7760844865).

Almost surely, 285901667241 is an apocalyptic number.

It is an amenable number.

85901667241 is a deficient number, since it is larger than the sum of its proper divisors (7228471139).

85901667241 is a wasteful number, since it uses less digits than its factorization.

85901667241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613996 (or 613983 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 85901667241 in words is "eighty-five billion, nine hundred one million, six hundred sixty-seven thousand, two hundred forty-one".

Divisors: 1 13 169 829 10777 140101 613141 7970833 103620829 508293889 6607820557 85901667241