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82972130445 = 32517910300699
BaseRepresentation
bin100110101000110000…
…1100011110010001101
321221011110200221111100
41031101201203302031
52324411331133240
6102041124413313
75665061320641
oct1152141436215
9257143627440
1082972130445
1132208671736
12140b7247239
137a93b0bc99
1440317a8c21
1522593a9e30
hex1351863c8d

82972130445 has 24 divisors (see below), whose sum is σ = 144621828000. Its totient is φ = 44004581856.

The previous prime is 82972130443. The next prime is 82972130473. The reversal of 82972130445 is 54403127928.

82972130445 is a `hidden beast` number, since 8 + 2 + 9 + 72 + 130 + 445 = 666.

It is not a de Polignac number, because 82972130445 - 21 = 82972130443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82972130445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82972130443) 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 23 ways as a sum of consecutive naturals, for example, 5142295 + ... + 5158404.

It is an arithmetic number, because the mean of its divisors is an integer number (6025909500).

Almost surely, 282972130445 is an apocalyptic number.

It is an amenable number.

82972130445 is a deficient number, since it is larger than the sum of its proper divisors (61649697555).

82972130445 is a wasteful number, since it uses less digits than its factorization.

82972130445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300889 (or 10300886 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82972130445 in words is "eighty-two billion, nine hundred seventy-two million, one hundred thirty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 179 537 895 1611 2685 8055 10300699 30902097 51503495 92706291 154510485 463531455 1843825121 5531475363 9219125605 16594426089 27657376815 82972130445