Search a number
-
+
86556760812 = 22336182715887
BaseRepresentation
bin101000010011100101…
…1110101101011101100
322021102021211000221000
41100213023311223230
52404232012321222
6103432535440300
76152646220224
oct1204713655354
9267367730830
1086556760812
1133788042575
1214937826090
13821566a442
1442918b7084
1523b8e329ac
hex14272f5aec

86556760812 has 96 divisors (see below), whose sum is σ = 228375383040. Its totient is φ = 28343165760.

The previous prime is 86556760811. The next prime is 86556760813. The reversal of 86556760812 is 21806765568.

86556760812 is a `hidden beast` number, since 8 + 6 + 5 + 567 + 60 + 8 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (86556760811) and next prime (86556760813).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86556760811) 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, 5440333 + ... + 5456219.

It is an arithmetic number, because the mean of its divisors is an integer number (2378910240).

Almost surely, 286556760812 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 86556760812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114187691520).

86556760812 is an abundant number, since it is smaller than the sum of its proper divisors (141818622228).

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

86556760812 is a wasteful number, since it uses less digits than its factorization.

86556760812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788 (or 16780 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 86556760812 in words is "eighty-six billion, five hundred fifty-six million, seven hundred sixty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 827 1098 1647 1654 2196 2481 3294 3308 4962 6588 7443 9924 14886 15887 22329 29772 31774 44658 47661 50447 63548 89316 95322 100894 142983 151341 190644 201788 285966 302682 428949 454023 571932 605364 857898 908046 969107 1362069 1715796 1816092 1938214 2724138 2907321 3876428 5448276 5814642 8721963 11629284 13138549 17443926 26165889 26277098 34887852 39415647 52331778 52554196 78831294 104663556 118246941 157662588 236493882 354740823 472987764 709481646 801451489 1418963292 1602902978 2404354467 3205805956 4808708934 7213063401 9617417868 14426126802 21639190203 28852253604 43278380406 86556760812