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81384474348 = 223210760734807
BaseRepresentation
bin100101111001011100…
…1001000011011101100
321210001211020122202200
41023302321020123230
52313133411134343
6101215411421500
75610532421652
oct1136271103354
9253054218680
1081384474348
1131573461161
12139335b4890
13789cc088c8
143d209a8dd2
1521b4ce84d3
hex12f2e486ec

81384474348 has 72 divisors (see below), whose sum is σ = 207992558592. Its totient is φ = 26829578592.

The previous prime is 81384474329. The next prime is 81384474359. The reversal of 81384474348 is 84347448318.

81384474348 is a `hidden beast` number, since 8 + 138 + 4 + 474 + 34 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81384474294 and 81384474303.

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 23 ways as a sum of consecutive naturals, for example, 2320761 + ... + 2355567.

It is an arithmetic number, because the mean of its divisors is an integer number (2888785536).

Almost surely, 281384474348 is an apocalyptic number.

It is an amenable number.

81384474348 is an abundant number, since it is smaller than the sum of its proper divisors (126608084244).

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

81384474348 is a wasteful number, since it uses less digits than its factorization.

81384474348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531 (or 35526 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 81384474348 in words is "eighty-one billion, three hundred eighty-four million, four hundred seventy-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 607 642 963 1214 1284 1821 1926 2428 3642 3852 5463 7284 10926 21852 34807 64949 69614 104421 129898 139228 194847 208842 259796 313263 389694 417684 584541 626526 779388 1169082 1253052 2338164 3724349 7448698 11173047 14897396 21127849 22346094 33519141 42255698 44692188 63383547 67038282 84511396 126767094 134076564 190150641 253534188 380301282 760602564 2260679843 4521359686 6782039529 9042719372 13564079058 20346118587 27128158116 40692237174 81384474348