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86016246912 = 273286412
BaseRepresentation
bin101000000011011110…
…1111100010010000000
322020000121202002020200
41100012331330102000
52402130124400122
6103303150405200
76133364015031
oct1200675742200
9266017662220
1086016246912
113352aa24472
1214806800800
13815a69b92b
14423dbb6a88
1523867655ac
hex1406f7c480

86016246912 has 72 divisors (see below), whose sum is σ = 247549358745. Its totient is φ = 28668764160.

The previous prime is 86016246907. The next prime is 86016246913. The reversal of 86016246912 is 21964261068.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86016246912 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 624 + 6 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57151596096 + 28864650816 = 239064^2 + 169896^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207384.

It is a super-2 number, since 2×860162469122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86016246913) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9950112 + ... + 9958752.

Almost surely, 286016246912 is an apocalyptic number.

It is an amenable number.

86016246912 is an abundant number, since it is smaller than the sum of its proper divisors (161533111833).

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

86016246912 is an frugal number, since it uses more digits than its factorization.

86016246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86016246912 in words is "eighty-six billion, sixteen million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8641 17282 25923 34564 51846 69128 77769 103692 138256 155538 207384 276512 311076 414768 553024 622152 829536 1106048 1244304 1659072 2488608 3318144 4977216 9954432 74666881 149333762 224000643 298667524 448001286 597335048 672001929 896002572 1194670096 1344003858 1792005144 2389340192 2688007716 3584010288 4778680384 5376015432 7168020576 9557360768 10752030864 14336041152 21504061728 28672082304 43008123456 86016246912