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81116439336 = 23334759135427
BaseRepresentation
bin100101110001011101…
…0101010001100101000
321202101010220001212000
41023202322222030220
52312111302024321
6101133034451000
75601066233532
oct1134272521450
9252333801760
1081116439336
113144612a519
1213879893a60
1378595202ca
143cd7156852
15219b500826
hex12e2eaa328

81116439336 has 128 divisors (see below), whose sum is σ = 234019584000. Its totient is φ = 26014792896.

The previous prime is 81116439329. The next prime is 81116439337. The reversal of 81116439336 is 63393461118.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81116439291 and 81116439300.

It is not an unprimeable number, because it can be changed into a prime (81116439337) 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 31 ways as a sum of consecutive naturals, for example, 531255 + ... + 666681.

It is an arithmetic number, because the mean of its divisors is an integer number (1828278000).

Almost surely, 281116439336 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 81116439336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117009792000).

81116439336 is an abundant number, since it is smaller than the sum of its proper divisors (152903144664).

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

81116439336 is a wasteful number, since it uses less digits than its factorization.

81116439336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135548 (or 135538 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 81116439336 in words is "eighty-one billion, one hundred sixteen million, four hundred thirty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 59 72 94 108 118 141 177 188 216 236 282 354 376 423 472 531 564 708 846 1062 1128 1269 1416 1593 1692 2124 2538 2773 3186 3384 4248 5076 5546 6372 8319 10152 11092 12744 16638 22184 24957 33276 49914 66552 74871 99828 135427 149742 199656 270854 299484 406281 541708 598968 812562 1083416 1218843 1625124 2437686 3250248 3656529 4875372 6365069 7313058 7990193 9750744 12730138 14626116 15980386 19095207 23970579 25460276 29252232 31960772 38190414 47941158 50920552 57285621 63921544 71911737 76380828 95882316 114571242 143823474 152761656 171856863 191764632 215735211 229142484 287646948 343713726 375539071 431470422 458284968 575293896 687427452 751078142 862940844 1126617213 1374854904 1502156284 1725881688 2253234426 3004312568 3379851639 4506468852 6759703278 9012937704 10139554917 13519406556 20279109834 27038813112 40558219668 81116439336