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38675942244 = 22327324492
BaseRepresentation
bin100100000001010001…
…000000101101100100
310200211101121102201100
4210001101000231210
51113202020122434
625433435400100
72536266041052
oct440121005544
9120741542640
1038675942244
1115447619935
1275b45b3030
133854973234
141c2c7c71d2
151015643699
hex901440b64

38675942244 has 81 divisors (see below), whose sum is σ = 99343021323. Its totient is φ = 12687058944.

The previous prime is 38675942213. The next prime is 38675942297. The reversal of 38675942244 is 44224957683.

It is a happy number.

The square root of 38675942244 is 196662.

It is a perfect power (a square), and thus also a powerful number.

38675942244 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 594 + 2 + 2 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1238336100 + 37437606144 = 35190^2 + 193488^2 .

It is a super-3 number, since 3×386759422443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86137732 + ... + 86138180.

Almost surely, 238675942244 is an apocalyptic number.

38675942244 is the 196662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38675942244

38675942244 is an abundant number, since it is smaller than the sum of its proper divisors (60667079079).

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

38675942244 is an equidigital number, since it uses as much as digits as its factorization.

38675942244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 38675942244 in words is "thirty-eight billion, six hundred seventy-five million, nine hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 449 657 876 898 1314 1347 1796 2628 2694 4041 5329 5388 8082 10658 15987 16164 21316 31974 32777 47961 63948 65554 95922 98331 131108 191844 196662 201601 294993 393324 403202 589986 604803 806404 1179972 1209606 1814409 2392721 2419212 3628818 4785442 7178163 7257636 9570884 14356326 14716873 21534489 28712652 29433746 43068978 44150619 58867492 86137956 88301238 132451857 176602476 264903714 529807428 1074331729 2148663458 3222995187 4297326916 6445990374 9668985561 12891980748 19337971122 38675942244