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85901667729 = 343665904401
BaseRepresentation
bin101000000000000100…
…0110110110110010001
322012201122010212011020
41100000020312312101
52401411311331404
6103243534510053
76130503061653
oct1200010666621
9265648125136
1085901667729
1133481285429
1214794365329
13813ca221b7
14422c8ac6d3
15237b680ed9
hex1400236d91

85901667729 has 8 divisors (see below), whose sum is σ = 117199174752. Its totient is φ = 55935969600.

The previous prime is 85901667713. The next prime is 85901667749. The reversal of 85901667729 is 92776610958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85901667729 - 24 = 85901667713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85901667749) 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 7 ways as a sum of consecutive naturals, for example, 332952072 + ... + 332952329.

It is an arithmetic number, because the mean of its divisors is an integer number (14649896844).

Almost surely, 285901667729 is an apocalyptic number.

It is an amenable number.

85901667729 is a deficient number, since it is larger than the sum of its proper divisors (31297507023).

85901667729 is a wasteful number, since it uses less digits than its factorization.

85901667729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665904447.

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 85901667729 in words is "eighty-five billion, nine hundred one million, six hundred sixty-seven thousand, seven hundred twenty-nine".

Divisors: 1 3 43 129 665904401 1997713203 28633889243 85901667729