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81241194393 = 32831072933469
BaseRepresentation
bin100101110101001011…
…0100011111110011001
321202200211122021121200
41023222112203332121
52312340221210033
6101153252424413
75604142521102
oct1135226437631
9252624567550
1081241194393
11314aa599877
12138b3618109
137879320678
143d0994d3a9
1521a7445013
hex12ea5a3f99

81241194393 has 48 divisors (see below), whose sum is σ = 120315948480. Its totient is φ = 52812035712.

The previous prime is 81241194373. The next prime is 81241194443. The reversal of 81241194393 is 39349114218.

81241194393 is a `hidden beast` number, since 8 + 1 + 241 + 19 + 4 + 393 = 666.

It is not a de Polignac number, because 81241194393 - 212 = 81241190297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81241194323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417463 + ... + 23420931.

It is an arithmetic number, because the mean of its divisors is an integer number (2506582260).

Almost surely, 281241194393 is an apocalyptic number.

81241194393 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

81241194393 is a deficient number, since it is larger than the sum of its proper divisors (39074754087).

81241194393 is a wasteful number, since it uses less digits than its factorization.

81241194393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3955 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 81241194393 in words is "eighty-one billion, two hundred forty-one million, one hundred ninety-four thousand, three hundred ninety-three".

Divisors: 1 3 9 83 107 249 293 321 747 879 963 2637 3469 8881 10407 24319 26643 31221 31351 72957 79929 94053 218871 282159 287927 371183 863781 1016417 1113549 2591343 2602133 3049251 3340647 7806399 9147753 23419197 30808189 84362611 92424567 108756619 253087833 277273701 326269857 759263499 978809571 9026799377 27080398131 81241194393