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86210337408 = 27313123114029
BaseRepresentation
bin101000001001010001…
…0010101101010000000
322020112010221220100120
41100102202111222000
52403024321244113
6103334322420240
76141241530366
oct1202242255200
9266463856316
1086210337408
113361a540538
121485b801680
13818b967190
14425b89b636
152398803a23
hex1412895a80

86210337408 has 128 divisors (see below), whose sum is σ = 246829228800. Its totient is φ = 26502819840.

The previous prime is 86210337379. The next prime is 86210337419. The reversal of 86210337408 is 80473301268.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 86210337408.

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, 6138138 + ... + 6152166.

It is an arithmetic number, because the mean of its divisors is an integer number (1928353350).

Almost surely, 286210337408 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 86210337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123414614400).

86210337408 is an abundant number, since it is smaller than the sum of its proper divisors (160618891392).

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

86210337408 is a wasteful number, since it uses less digits than its factorization.

86210337408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 86210337408 in words is "eighty-six billion, two hundred ten million, three hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1231 1248 1664 2462 2496 3693 4924 4992 7386 9848 14029 14772 16003 19696 28058 29544 32006 39392 42087 48009 56116 59088 64012 78784 84174 96018 112232 118176 128024 157568 168348 182377 192036 224464 236352 256048 336696 364754 384072 448928 472704 512096 547131 673392 729508 768144 897856 1024192 1094262 1346784 1459016 1536288 1795712 2048384 2188524 2693568 2918032 3072576 4377048 5387136 5836064 6145152 8754096 11672128 17269699 17508192 23344256 34539398 35016384 51809097 69078796 70032768 103618194 138157592 207236388 224506087 276315184 414472776 449012174 552630368 673518261 828945552 898024348 1105260736 1347036522 1657891104 1796048696 2210521472 2694073044 3315782208 3592097392 5388146088 6631564416 7184194784 10776292176 14368389568 21552584352 28736779136 43105168704 86210337408