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85851212260 = 225114388110301
BaseRepresentation
bin100111111110100100…
…0011000100111100100
322012121010012110021011
41033331020120213210
52401310402243020
6103234533232004
76126321156322
oct1177510304744
9265533173234
1085851212260
11334558534a0
121477b492604
1381324376a8
144225cd6d12
15237701635a
hex13fd2189e4

85851212260 has 96 divisors (see below), whose sum is σ = 201499208064. Its totient is φ = 30455040000.

The previous prime is 85851212231. The next prime is 85851212261. The reversal of 85851212260 is 6221215858.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85851212261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8329110 + ... + 8339410.

It is an arithmetic number, because the mean of its divisors is an integer number (2098950084).

Almost surely, 285851212260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85851212260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100749604032).

85851212260 is an abundant number, since it is smaller than the sum of its proper divisors (115647995804).

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

85851212260 is a wasteful number, since it uses less digits than its factorization.

85851212260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 85851212260 in words is "eighty-five billion, eight hundred fifty-one million, two hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 881 946 1762 1892 2365 3524 4405 4730 8810 9460 9691 10301 17620 19382 20602 37883 38764 41204 48455 51505 75766 96910 103010 113311 151532 189415 193820 206020 226622 378830 416713 442943 453244 566555 757660 833426 885886 1133110 1666852 1771772 2083565 2214715 2266220 4167130 4429430 4872373 8334260 8858860 9075181 9744746 18150362 19489492 24361865 36300724 45375905 48723730 90751810 97447460 99826991 181503620 199653982 390232783 399307964 499134955 780465566 998269910 1560931132 1951163915 1996539820 3902327830 4292560613 7804655660 8585121226 17170242452 21462803065 42925606130 85851212260