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38053608642 = 2327243144681
BaseRepresentation
bin100011011100001010…
…111111110011000010
310122020000120121111200
4203130022333303002
51110413210434032
625252004522030
72515001223300
oct433412776302
9118200517450
1038053608642
11151582a7445
1274600b0316
133785a57cba
141badca9270
15ecabb347c
hex8dc2bfcc2

38053608642 has 36 divisors (see below), whose sum is σ = 95910628086. Its totient is φ = 10872459360.

The previous prime is 38053608641. The next prime is 38053608643. The reversal of 38053608642 is 24680635083.

It is a happy number.

38053608642 is a `hidden beast` number, since 38 + 0 + 5 + 3 + 608 + 6 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38053608641) and next prime (38053608643).

It can be written as a sum of positive squares in only one way, i.e., 22488301521 + 15565307121 = 149961^2 + 124761^2 .

It is not an unprimeable number, because it can be changed into a prime (38053608641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21571459 + ... + 21573222.

Almost surely, 238053608642 is an apocalyptic number.

38053608642 is an abundant number, since it is smaller than the sum of its proper divisors (57857019444).

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

38053608642 is a wasteful number, since it uses less digits than its factorization.

38053608642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43144703 (or 43144693 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38053608642 in words is "thirty-eight billion, fifty-three million, six hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 43144681 86289362 129434043 258868086 302012767 388302129 604025534 776604258 906038301 1812076602 2114089369 2718114903 4228178738 5436229806 6342268107 12684536214 19026804321 38053608642