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81384377346 = 2331507118099
BaseRepresentation
bin100101111001011100…
…0110000110000000010
321210001211001201201000
41023302320300300002
52313133400033341
6101215405352430
75610531536106
oct1136270606002
9253054051630
1081384377346
11315733a5298
1213933568716
13789cba36cc
143d20981906
1521b4cc98b6
hex12f2e30c02

81384377346 has 16 divisors (see below), whose sum is σ = 180854172000. Its totient is φ = 27128125764.

The previous prime is 81384377341. The next prime is 81384377351. The reversal of 81384377346 is 64377348318.

81384377346 is a `hidden beast` number, since 8 + 138 + 437 + 73 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (81384377341) and next prime (81384377351).

It is a super-2 number, since 2×813843773462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1507118099 = 81384377346 / (8 + 1 + 3 + 8 + 4 + 3 + 7 + 7 + 3 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 81384377292 and 81384377301.

It is not an unprimeable number, because it can be changed into a prime (81384377341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753558996 + ... + 753559103.

It is an arithmetic number, because the mean of its divisors is an integer number (11303385750).

Almost surely, 281384377346 is an apocalyptic number.

81384377346 is an abundant number, since it is smaller than the sum of its proper divisors (99469794654).

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

81384377346 is a wasteful number, since it uses less digits than its factorization.

81384377346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507118110 (or 1507118104 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 81384377346 in words is "eighty-one billion, three hundred eighty-four million, three hundred seventy-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 1507118099 3014236198 4521354297 9042708594 13564062891 27128125782 40692188673 81384377346