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86280335168 = 261994175403
BaseRepresentation
bin101000001011010110…
…1010110111101000000
322020201000200011020012
41100112231112331000
52403200231211133
6103345303004052
76143051514446
oct1202655267500
9266630604205
1086280335168
1133655aaa925
121487b139628
1381a0304981
144266cbcb96
15239ea2db48
hex1416b56f40

86280335168 has 56 divisors (see below), whose sum is σ = 180417642720. Its totient is φ = 40825658880.

The previous prime is 86280335131. The next prime is 86280335177. The reversal of 86280335168 is 86153308268.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1106555 + ... + 1181957.

It is an arithmetic number, because the mean of its divisors is an integer number (3221743620).

Almost surely, 286280335168 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 86280335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90208821360).

86280335168 is an abundant number, since it is smaller than the sum of its proper divisors (94137307552).

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

86280335168 is a wasteful number, since it uses less digits than its factorization.

86280335168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76375 (or 76365 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 86280335168 in words is "eighty-six billion, two hundred eighty million, three hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 941 1216 1882 3764 7528 15056 17879 30112 35758 60224 71516 75403 143032 150806 286064 301612 572128 603224 1144256 1206448 1432657 2412896 2865314 4825792 5730628 11461256 22922512 45845024 70954223 91690048 141908446 283816892 567633784 1135267568 1348130237 2270535136 2696260474 4541070272 5392520948 10785041896 21570083792 43140167584 86280335168