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42531005466 = 23271153121737
BaseRepresentation
bin100111100111000010…
…111010010000011010
311001210001120221021200
4213213002322100122
51144100414133331
631312151015030
73033646403325
oct474702722032
9131701527250
1042531005466
11170457099a4
1282ab66a476
13401a549531
1420b67ad7bc
15118dcd95e6
hex9e70ba41a

42531005466 has 48 divisors (see below), whose sum is σ = 93513745728. Its totient is φ = 13967553600.

The previous prime is 42531005401. The next prime is 42531005471. The reversal of 42531005466 is 66450013524.

42531005466 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 100 + 546 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42531005466.

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 23 ways as a sum of consecutive naturals, for example, 1945750 + ... + 1967486.

It is an arithmetic number, because the mean of its divisors is an integer number (1948203036).

Almost surely, 242531005466 is an apocalyptic number.

42531005466 is an abundant number, since it is smaller than the sum of its proper divisors (50982740262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42531005466 is a wasteful number, since it uses less digits than its factorization.

42531005466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23347 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42531005466 in words is "forty-two billion, five hundred thirty-one million, five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 1531 3062 4593 9186 13779 21737 27558 43474 65211 108701 130422 195633 217402 326103 391266 652206 978309 1543327 1956618 3086654 4629981 9259962 13889943 27779886 33279347 66558694 99838041 199676082 299514123 599028246 2362833637 4725667274 7088500911 14177001822 21265502733 42531005466