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85710075438 = 231319186730977
BaseRepresentation
bin100111111010010110…
…1111111011000101110
322012020021121221221110
41033310231333120232
52401013234403223
6103212532212450
76122655422601
oct1176455773056
9265207557843
1085710075438
1133393115299
121474016a126
13810c11ca90
144211278338
152369937d93
hex13f4b7f62e

85710075438 has 64 divisors (see below), whose sum is σ = 194432797440. Its totient is φ = 24970125312.

The previous prime is 85710075401. The next prime is 85710075439. The reversal of 85710075438 is 83457001758.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85710075439) 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, 2751406 + ... + 2782382.

It is an arithmetic number, because the mean of its divisors is an integer number (3038012460).

Almost surely, 285710075438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85710075438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216398720).

85710075438 is an abundant number, since it is smaller than the sum of its proper divisors (108722722002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85710075438 is a wasteful number, since it uses less digits than its factorization.

85710075438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32881.

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 85710075438 in words is "eighty-five billion, seven hundred ten million, seventy-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1867 3734 5601 11202 24271 30977 35473 48542 61954 70946 72813 92931 106419 145626 185862 212838 402701 461149 588563 805402 922298 1177126 1208103 1383447 1765689 2416206 2766894 3531378 7651319 15302638 22953957 45907914 57834059 115668118 173502177 347004354 751842767 1098847121 1503685534 2197694242 2255528301 3296541363 4511056602 6593082726 14285012573 28570025146 42855037719 85710075438