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42054605640 = 23325116818349
BaseRepresentation
bin100111001010101001…
…100101101101001000
311000112212011022120200
4213022221211231020
51142111434340030
631153012052200
73016103151465
oct471251455510
9130485138520
1042054605640
1116920801733
128198004060
133c72938448
14206d3dc66c
151162083d60
hex9caa65b48

42054605640 has 48 divisors (see below), whose sum is σ = 136677469500. Its totient is φ = 11214561408.

The previous prime is 42054605639. The next prime is 42054605641. The reversal of 42054605640 is 4650645024.

42054605640 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 4 + 6 + 0 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (42054605639) and next prime (42054605641).

It can be written as a sum of positive squares in 2 ways, for example, as 40732119684 + 1322485956 = 201822^2 + 36366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42054605595 and 42054605604.

It is not an unprimeable number, because it can be changed into a prime (42054605641) 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 11 ways as a sum of consecutive naturals, for example, 58408815 + ... + 58409534.

Almost surely, 242054605640 is an apocalyptic number.

42054605640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42054605640 is an abundant number, since it is smaller than the sum of its proper divisors (94622863860).

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

42054605640 is a wasteful number, since it uses less digits than its factorization.

42054605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116818366 (or 116818359 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42054605640 in words is "forty-two billion, fifty-four million, six hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 116818349 233636698 350455047 467273396 584091745 700910094 934546792 1051365141 1168183490 1401820188 1752275235 2102730282 2336366980 2803640376 3504550470 4205460564 4672733960 5256825705 7009100940 8410921128 10513651410 14018201880 21027302820 42054605640