Search a number
-
+
86021848416 = 2537314129313
BaseRepresentation
bin101000000011101001…
…1010011110101100000
322020001000021200001210
41100013103103311200
52402133043122131
6103303510430120
76133462434660
oct1200723236540
9266030250053
1086021848416
11335330aaa09
1214808662340
13815b8b042a
1442408341a0
152386ec0146
hex14074d3d60

86021848416 has 96 divisors (see below), whose sum is σ = 266390304768. Its totient is φ = 23784837120.

The previous prime is 86021848399. The next prime is 86021848439. The reversal of 86021848416 is 61484812068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043825 + ... + 2085488.

It is an arithmetic number, because the mean of its divisors is an integer number (2774899008).

Almost surely, 286021848416 is an apocalyptic number.

It is an amenable number.

86021848416 is an abundant number, since it is smaller than the sum of its proper divisors (180368456352).

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

86021848416 is a wasteful number, since it uses less digits than its factorization.

86021848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129364 (or 4129356 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 86021848416 in words is "eighty-six billion, twenty-one million, eight hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 4129313 8258626 12387939 16517252 24775878 28905191 33034504 49551756 57810382 66069008 86715573 99103512 115620764 128008703 132138016 173431146 198207024 231241528 256017406 346862292 384026109 396414048 462483056 512034812 693724584 768052218 896060921 924966112 1024069624 1387449168 1536104436 1792121842 2048139248 2688182763 2774898336 3072208872 3584243684 4096278496 5376365526 6144417744 7168487368 10752731052 12288835488 14336974736 21505462104 28673949472 43010924208 86021848416