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38856552288 = 2535359129439
BaseRepresentation
bin100100001100000001…
…111110111101100000
310201021222110101010020
4210030001332331200
51114034234133123
625503410433440
72543621150001
oct441401767540
9121258411106
1038856552288
111552a568934
127644b92880
1338831cb998
141c4879d1a8
15102641c7e3
hex90c07ef60

38856552288 has 96 divisors (see below), whose sum is σ = 105685171200. Its totient is φ = 12492320256.

The previous prime is 38856552283. The next prime is 38856552323. The reversal of 38856552288 is 88225565883.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38856552283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235473 + ... + 364911.

It is an arithmetic number, because the mean of its divisors is an integer number (1100887200).

Almost surely, 238856552288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38856552288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52842585600).

38856552288 is an abundant number, since it is smaller than the sum of its proper divisors (66828618912).

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

38856552288 is a wasteful number, since it uses less digits than its factorization.

38856552288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129564 (or 129556 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 60.

The spelling of 38856552288 in words is "thirty-eight billion, eight hundred fifty-six million, five hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 59 96 106 118 159 177 212 236 318 354 424 472 636 708 848 944 1272 1416 1696 1888 2544 2832 3127 5088 5664 6254 9381 12508 18762 25016 37524 50032 75048 100064 129439 150096 258878 300192 388317 517756 776634 1035512 1553268 2071024 3106536 4142048 6213072 6860267 7636901 12426144 13720534 15273802 20580801 22910703 27441068 30547604 41161602 45821406 54882136 61095208 82323204 91642812 109764272 122190416 164646408 183285624 219528544 244380832 329292816 366571248 404755753 658585632 733142496 809511506 1214267259 1619023012 2428534518 3238046024 4857069036 6476092048 9714138072 12952184096 19428276144 38856552288