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85757758866 = 232135313949747
BaseRepresentation
bin100111111011110001…
…1111000110110010010
322012100121100112022100
41033313203320312102
52401112441240431
6103221354221230
76124104631413
oct1176743706622
9265317315270
1085757758866
113340802358a
1214754124816
138118c76920
14421772b80a
15236dc064e6
hex13f78f8d92

85757758866 has 96 divisors (see below), whose sum is σ = 205347804480. Its totient is φ = 25702365312.

The previous prime is 85757758861. The next prime is 85757758873. The reversal of 85757758866 is 66885775758.

It is a junction number, because it is equal to n+sod(n) for n = 85757758794 and 85757758803.

It is not an unprimeable number, because it can be changed into a prime (85757758861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1699005 + ... + 1748751.

It is an arithmetic number, because the mean of its divisors is an integer number (2139039630).

Almost surely, 285757758866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85757758866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102673902240).

85757758866 is an abundant number, since it is smaller than the sum of its proper divisors (119590045614).

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

85757758866 is a wasteful number, since it uses less digits than its factorization.

85757758866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49960 (or 49957 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 85757758866 in words is "eighty-five billion, seven hundred fifty-seven million, seven hundred fifty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 139 159 234 278 318 417 477 689 834 954 1251 1378 1807 2067 2502 3614 4134 5421 6201 7367 10842 12402 14734 16263 22101 32526 44202 49747 66303 95771 99494 132606 149241 191542 287313 298482 447723 574626 646711 861939 895446 1293422 1723878 1940133 2636591 3880266 5273182 5820399 6914833 7909773 11640798 13829666 15819546 20744499 23729319 34275683 41488998 47458638 62233497 68551366 89892829 102827049 124466994 179785658 205654098 269678487 308481147 366486149 539356974 616962294 732972298 809035461 1099458447 1618070922 2198916894 3298375341 4764319937 6596750682 9528639874 14292959811 28585919622 42878879433 85757758866