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81039103936 = 2672181142771
BaseRepresentation
bin100101101111001001…
…1101001011111000000
321202011202101000121221
41023132103221133000
52311432002311221
6101121233124424
75566140006100
oct1133623513700
9252152330557
1081039103936
113140650926a
12138579b9714
1378464b3a0b
143ccab85200
152194826541
hex12de4e97c0

81039103936 has 84 divisors (see below), whose sum is σ = 188101824456. Its totient is φ = 34538918400.

The previous prime is 81039103919. The next prime is 81039103949. The reversal of 81039103936 is 63930193018.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81039103892 and 81039103901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496231 + ... + 639001.

It is an arithmetic number, because the mean of its divisors is an integer number (2239307434).

Almost surely, 281039103936 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 81039103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94050912228).

81039103936 is an abundant number, since it is smaller than the sum of its proper divisors (107062720520).

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

81039103936 is a wasteful number, since it uses less digits than its factorization.

81039103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142978 (or 142961 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 81039103936 in words is "eighty-one billion, thirty-nine million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 181 196 224 362 392 448 724 784 1267 1448 1568 2534 2896 3136 5068 5792 8869 10136 11584 17738 20272 35476 40544 70952 81088 141904 142771 283808 285542 567616 571084 999397 1142168 1998794 2284336 3997588 4568672 6995779 7995176 9137344 13991558 15990352 25841551 27983116 31980704 51683102 55966232 63961408 103366204 111932464 180890857 206732408 223864928 361781714 413464816 447729856 723563428 826929632 1266235999 1447126856 1653859264 2532471998 2894253712 5064943996 5788507424 10129887992 11577014848 20259775984 40519551968 81039103936