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82375054837803 = 32713213075919607
BaseRepresentation
bin10010101110101101101111…
…111000011100100000101011
3101210122222102012112201002200
4102232231233320130200223
541244113103014302203
6451110324444231243
723231254436132130
oct2256555770344053
9353588365481080
1082375054837803
112427a078a407a2
1292a4a0723b523
1336c6c1b98b800
14164ad8c656587
1597cb6e3709a3
hex4aeb6fe1c82b

82375054837803 has 72 divisors (see below), whose sum is σ = 147361869128448. Its totient is φ = 43417326528576.

The previous prime is 82375054837739. The next prime is 82375054837853. The reversal of 82375054837803 is 30873845057328.

82375054837803 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 5 + 0 + 548 + 3 + 7 + 80 + 3 = 666.

It is not a de Polignac number, because 82375054837803 - 26 = 82375054837739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82375054837853) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10955826 + ... + 16875432.

It is an arithmetic number, because the mean of its divisors is an integer number (2046692626784).

Almost surely, 282375054837803 is an apocalyptic number.

82375054837803 is a deficient number, since it is larger than the sum of its proper divisors (64986814290645).

82375054837803 is a wasteful number, since it uses less digits than its factorization.

82375054837803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920953 (or 5920937 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 82375054837803 in words is "eighty-two trillion, three hundred seventy-five billion, fifty-four million, eight hundred thirty-seven thousand, eight hundred three".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1307 1521 3549 3921 9149 10647 11763 16991 27447 50973 82341 118937 152919 220883 356811 662649 1070433 1546181 1987947 4638543 5919607 13915629 17758821 41437249 53276463 76954891 124311747 230864673 372935241 538684237 692594019 1000413583 1616052711 3001240749 4848158133 7002895081 7736926349 9003722247 21008685243 23210779047 54158484443 63026055729 69632337141 100580042537 162475453329 301740127611 487426359987 704060297759 905220382833 1307540552981 2112180893277 3922621658943 6336542679831 9152783870867 11767864976829 27458351612601 82375054837803