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38107128618 = 2341399718149
BaseRepresentation
bin100011011111010111…
…001010001100101010
310122100202021201010000
4203133113022030222
51111020411103433
625301200003430
72516221151226
oct433727121452
9118322251100
1038107128618
1115185531829
127476000576
133793b76620
141bb703b786
15ed0736113
hex8df5ca32a

38107128618 has 80 divisors (see below), whose sum is σ = 92053823400. Its totient is φ = 11712864384.

The previous prime is 38107128589. The next prime is 38107128629. The reversal of 38107128618 is 81682170183.

It is a happy number.

38107128618 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 7 + 1 + 28 + 618 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29435235489 + 8671893129 = 171567^2 + 93123^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2090608 + ... + 2108756.

Almost surely, 238107128618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38107128618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46026911700).

38107128618 is an abundant number, since it is smaller than the sum of its proper divisors (53946694782).

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

38107128618 is a wasteful number, since it uses less digits than its factorization.

38107128618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173 (or 19164 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 38107128618 in words is "thirty-eight billion, one hundred seven million, one hundred twenty-eight thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 997 1053 1994 2106 2991 5982 8973 12961 17946 18149 25922 26919 36298 38883 53838 54447 77766 80757 108894 116649 161514 163341 233298 235937 326682 349947 471874 490023 699894 707811 980046 1049841 1415622 1470069 2099682 2123433 2940138 4246866 6370299 12740598 18094553 19110897 36189106 38221794 54283659 108567318 162850977 235229189 325701954 470458378 488552931 705687567 977105862 1411375134 1465658793 2117062701 2931317586 4234125402 6351188103 12702376206 19053564309 38107128618