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81033419348 = 22731493891019
BaseRepresentation
bin100101101110111110…
…1111101101001010100
321202011100200012211122
41023131331331221110
52311424023404343
6101120511223112
75566040462000
oct1133575755124
9252140605748
1081033419348
1131403286362
1213855b17a98
13784527345b
143cca105700
1521940a2068
hex12ddf7da54

81033419348 has 96 divisors (see below), whose sum is σ = 167076000000. Its totient is φ = 34373087616.

The previous prime is 81033419347. The next prime is 81033419377. The reversal of 81033419348 is 84391433018.

It is a junction number, because it is equal to n+sod(n) for n = 81033419299 and 81033419308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81033419347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79521983 + ... + 79523001.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375000).

Almost surely, 281033419348 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 81033419348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000000).

81033419348 is an abundant number, since it is smaller than the sum of its proper divisors (86042580652).

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

81033419348 is a wasteful number, since it uses less digits than its factorization.

81033419348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 81033419348 in words is "eighty-one billion, thirty-three million, four hundred nineteen thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 343 389 596 686 778 1019 1043 1372 1556 2038 2086 2723 4076 4172 5446 7133 7301 10892 14266 14602 19061 28532 29204 38122 49931 51107 57961 76244 99862 102214 115922 133427 151831 199724 204428 231844 266854 303662 349517 396391 405727 533708 607324 699034 792782 811454 1062817 1398068 1585564 1622908 2125634 2774737 2840089 4251268 5549474 5680178 7439719 11098948 11360356 14879438 19423159 19880623 29758876 38846318 39761246 52078033 59062259 77692636 79522492 104156066 118124518 135962113 208312132 236249036 271924226 413435813 543848452 826871626 1653743252 2894050691 5788101382 11576202764 20258354837 40516709674 81033419348