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42054017680 = 245525675221
BaseRepresentation
bin100111001010100111…
…010110001010010000
311000112211001110001101
4213022213112022100
51142111312031210
631152551314144
73016065152353
oct471247261220
9130484043041
1042054017680
111692043aa14
12819797b954
133c7279093c
14206d2c829a
151161eb9a3a
hex9ca9d6290

42054017680 has 20 divisors (see below), whose sum is σ = 97775591292. Its totient is φ = 16821607040.

The previous prime is 42054017647. The next prime is 42054017683. The reversal of 42054017680 is 8671045024.

It can be written as a sum of positive squares in 2 ways, for example, as 31609995264 + 10444022416 = 177792^2 + 102196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (42054017683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262837531 + ... + 262837690.

Almost surely, 242054017680 is an apocalyptic number.

42054017680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42054017680 is an abundant number, since it is smaller than the sum of its proper divisors (55721573612).

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

42054017680 is a wasteful number, since it uses less digits than its factorization.

42054017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525675234 (or 525675228 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 42054017680 in words is "forty-two billion, fifty-four million, seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 525675221 1051350442 2102700884 2628376105 4205401768 5256752210 8410803536 10513504420 21027008840 42054017680