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81143700093 = 321716317771831
BaseRepresentation
bin100101110010010001…
…0101001101001111101
321202110001012001120200
41023210202221221331
52312140241400333
6101135451034113
75601550033131
oct1134442515175
9252401161520
1081143700093
113145a559975
1213886a3b939
137862076531
143cdaa113c1
15219dad7c13
hex12e48a9a7d

81143700093 has 48 divisors (see below), whose sum is σ = 125001991296. Its totient is φ = 50545244160.

The previous prime is 81143700073. The next prime is 81143700133. The reversal of 81143700093 is 39000734118.

It is a happy number.

It is not a de Polignac number, because 81143700093 - 210 = 81143699069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81143700073) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44315688 + ... + 44317518.

It is an arithmetic number, because the mean of its divisors is an integer number (2604208152).

Almost surely, 281143700093 is an apocalyptic number.

It is an amenable number.

81143700093 is a deficient number, since it is larger than the sum of its proper divisors (43858291203).

81143700093 is a wasteful number, since it uses less digits than its factorization.

81143700093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 81143700093 in words is "eighty-one billion, one hundred forty-three million, seven hundred thousand, ninety-three".

Divisors: 1 3 9 17 51 153 163 489 1467 1777 1831 2771 5331 5493 8313 15993 16479 24939 30209 31127 90627 93381 271881 280143 289651 298453 868953 895359 2606859 2686077 3253687 4924067 5073701 9761061 14772201 15221103 29283183 44316603 45663309 55312679 165938037 497814111 530350981 1591052943 4773158829 9015966677 27047900031 81143700093