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86078216232 = 23326765927077
BaseRepresentation
bin101000000101010101…
…0010101100000101000
322020011221100110011200
41100022222111200220
52402242010404412
6103313242524200
76135045523431
oct1201252254050
9266157313150
1086078216232
11335619aa988
1214823506660
13816a488078
144248108488
15238be069dc
hex140aa95828

86078216232 has 96 divisors (see below), whose sum is σ = 236975824800. Its totient is φ = 28220556672.

The previous prime is 86078216219. The next prime is 86078216251. The reversal of 86078216232 is 23261287068.

86078216232 is a `hidden beast` number, since 8 + 607 + 8 + 2 + 1 + 6 + 2 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3165478 + ... + 3192554.

It is an arithmetic number, because the mean of its divisors is an integer number (2468498175).

Almost surely, 286078216232 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 86078216232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118487912400).

86078216232 is an abundant number, since it is smaller than the sum of its proper divisors (150897608568).

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

86078216232 is a wasteful number, since it uses less digits than its factorization.

86078216232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27815 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86078216232 in words is "eighty-six billion, seventy-eight million, two hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 659 804 1206 1318 1608 1977 2412 2636 3954 4824 5272 5931 7908 11862 15816 23724 27077 44153 47448 54154 81231 88306 108308 132459 162462 176612 216616 243693 264918 324924 353224 397377 487386 529836 649848 794754 974772 1059672 1589508 1814159 1949544 3179016 3628318 5442477 7256636 10884954 14513272 16327431 17843743 21769908 32654862 35687486 43539816 53531229 65309724 71374972 107062458 130619448 142749944 160593687 214124916 321187374 428249832 642374748 1195530781 1284749496 2391061562 3586592343 4782123124 7173184686 9564246248 10759777029 14346369372 21519554058 28692738744 43039108116 86078216232