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42072984819 = 337489208073
BaseRepresentation
bin100111001011101111…
…101100110011110011
311000121010202002002000
4213023233230303303
51142131141003234
631154510025043
73016415320215
oct471357546363
9130533662060
1042072984819
1116930115238
1281a21a8183
133c766a1bb8
142071a245b5
1511639b4899
hex9cbbeccf3

42072984819 has 16 divisors (see below), whose sum is σ = 62338970400. Its totient is φ = 28044776448.

The previous prime is 42072984809. The next prime is 42072984827. The reversal of 42072984819 is 91848927024.

42072984819 is a `hidden beast` number, since 4 + 2 + 0 + 72 + 98 + 481 + 9 = 666.

It is not a de Polignac number, because 42072984819 - 27 = 42072984691 is a prime.

It is a super-2 number, since 2×420729848192 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42072984809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98167 + ... + 306239.

It is an arithmetic number, because the mean of its divisors is an integer number (3896185650).

Almost surely, 242072984819 is an apocalyptic number.

42072984819 is a deficient number, since it is larger than the sum of its proper divisors (20265985581).

42072984819 is a wasteful number, since it uses less digits than its factorization.

42072984819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215571 (or 215565 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 42072984819 in words is "forty-two billion, seventy-two million, nine hundred eighty-four thousand, eight hundred nineteen".

Divisors: 1 3 9 27 7489 22467 67401 202203 208073 624219 1872657 5617971 1558258697 4674776091 14024328273 42072984819