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81489736512 = 2632769183973
BaseRepresentation
bin100101111100100101…
…0101011001101000000
321210100011022112022100
41023321022223031000
52313342333032022
6101234051510400
75613251221512
oct1137112531500
9253304275270
1081489736512
1131617917188
12139628b8400
1378b8972602
143d30969bb2
1521be18c1ac
hex12f92ab340

81489736512 has 84 divisors (see below), whose sum is σ = 233880626980. Its totient is φ = 27127775232.

The previous prime is 81489736511. The next prime is 81489736571. The reversal of 81489736512 is 21563798418.

81489736512 is a `hidden beast` number, since 8 + 1 + 4 + 8 + 97 + 36 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24418437696 + 57071298816 = 156264^2 + 238896^2 .

It is a super-2 number, since 2×814897365122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81489736511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 350958 + ... + 534930.

Almost surely, 281489736512 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 81489736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116940313490).

81489736512 is an abundant number, since it is smaller than the sum of its proper divisors (152390890468).

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

81489736512 is a wasteful number, since it uses less digits than its factorization.

81489736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184760 (or 184747 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 81489736512 in words is "eighty-one billion, four hundred eighty-nine million, seven hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 769 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 24608 27684 36912 49216 55368 73824 110736 147648 183973 221472 367946 442944 551919 735892 1103838 1471784 1655757 2207676 2943568 3311514 4415352 5887136 6623028 8830704 11774272 13246056 17661408 26492112 35322816 52984224 105968448 141475237 282950474 424425711 565900948 848851422 1131801896 1273277133 1697702844 2263603792 2546554266 3395405688 4527207584 5093108532 6790811376 9054415168 10186217064 13581622752 20372434128 27163245504 40744868256 81489736512