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107584538546 = 21929731337351
BaseRepresentation
bin110010000110010001…
…0011100011110110010
3101021200202021211011202
41210030202130132302
53230313120213141
6121231302011202
710526021326532
oct1441442343662
9337622254152
10107584538546
1141698738181
1218a25a16b02
13a1b6c59884
1452c849b4c2
152bea01a49b
hex190c89c7b2

107584538546 has 32 divisors (see below), whose sum is σ = 178135286400. Its totient is φ = 48529756800.

The previous prime is 107584538531. The next prime is 107584538557. The reversal of 107584538546 is 645835485701.

107584538546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 107584538491 and 107584538500.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 588230 + ... + 749121.

It is an arithmetic number, because the mean of its divisors is an integer number (5566727700).

Almost surely, 2107584538546 is an apocalyptic number.

107584538546 is a deficient number, since it is larger than the sum of its proper divisors (70550747854).

107584538546 is a wasteful number, since it uses less digits than its factorization.

107584538546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337474.

The product of its (nonzero) digits is 16128000, while the sum is 56.

The spelling of 107584538546 in words is "one hundred seven billion, five hundred eighty-four million, five hundred thirty-eight thousand, five hundred forty-six".

Divisors: 1 2 19 29 38 58 73 146 551 1102 1387 2117 2774 4234 40223 80446 1337351 2674702 25409669 38783179 50819338 77566358 97626623 195253246 736880401 1473760802 1854905837 2831172067 3709811674 5662344134 53792269273 107584538546