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85997525944 = 231119125940853
BaseRepresentation
bin101000000010111011…
…0100001101110111000
322012222022111221220111
41100011312201232320
52402110331312234
6103301241234104
76133045623661
oct1200566415670
9265868457814
1085997525944
11335203a80a0
1214800492934
138156845735
14423b502368
152384cb8664
hex1405da1bb8

85997525944 has 64 divisors (see below), whose sum is σ = 185313744000. Its totient is φ = 37002107520.

The previous prime is 85997525917. The next prime is 85997525947. The reversal of 85997525944 is 44952579958.

It is a super-2 number, since 2×859975259442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85997525944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85997525947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084622 + ... + 2125474.

It is an arithmetic number, because the mean of its divisors is an integer number (2895527250).

Almost surely, 285997525944 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 85997525944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92656872000).

85997525944 is an abundant number, since it is smaller than the sum of its proper divisors (99316218056).

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

85997525944 is a wasteful number, since it uses less digits than its factorization.

85997525944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42148 (or 42144 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 67.

The spelling of 85997525944 in words is "eighty-five billion, nine hundred ninety-seven million, five hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1259 1672 2518 5036 10072 13849 23921 27698 40853 47842 55396 81706 95684 110792 163412 191368 263131 326824 449383 526262 776207 898766 1052524 1552414 1797532 2105048 3104828 3595064 6209656 8538277 17076554 34153108 51433927 68306216 102867854 205735708 411471416 565773197 977244613 1131546394 1954489226 2263092788 3908978452 4526185576 7817956904 10749690743 21499381486 42998762972 85997525944