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81380000471 = 71153731731579
BaseRepresentation
bin100101111001010100…
…0000100001011010111
321210001111211100202112
41023302220010023113
52313131240003341
6101215131501235
75610446406410
oct1136250041327
9253044740675
1081380000471
1131570985940
1213931bb781b
13789c000443
143d20162807
1521b4712aeb
hex12f2a042d7

81380000471 has 64 divisors (see below), whose sum is σ = 105463710720. Its totient is φ = 60970890240.

The previous prime is 81380000417. The next prime is 81380000503. The reversal of 81380000471 is 17400008318.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-81380000471 is a prime.

It is a super-3 number, since 3×813800004713 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81380006471) 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 63 ways as a sum of consecutive naturals, for example, 51538160 + ... + 51539738.

It is an arithmetic number, because the mean of its divisors is an integer number (1647870480).

Almost surely, 281380000471 is an apocalyptic number.

81380000471 is a deficient number, since it is larger than the sum of its proper divisors (24083710249).

81380000471 is a wasteful number, since it uses less digits than its factorization.

81380000471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 81380000471 its reverse (17400008318), we get a palindrome (98780008789).

The spelling of 81380000471 in words is "eighty-one billion, three hundred eighty million, four hundred seventy-one", and thus it is an aban number.

Divisors: 1 7 11 53 73 77 173 371 511 583 803 1211 1579 1903 3869 4081 5621 9169 11053 12629 13321 17369 27083 42559 64183 83687 88403 100859 115267 121583 138919 273167 297913 585809 669337 706013 806869 920557 972433 1267937 1912169 3004837 4685359 6109151 6443899 7362707 8875559 14477851 19941191 21033859 42764057 51538949 67200661 101344957 139588337 159256361 219353101 470404627 1056883123 1114794527 1535471707 7398181861 11625714353 81380000471