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388542281288 = 237219216572
BaseRepresentation
bin1011010011101101110…
…11001011011001001000
31101010220011211221201112
411221312323023121020
522331213311000123
6454254401305452
740033303620200
oct5516673133110
91333804757645
10388542281288
1113a863a96787
1263376035288
132a840943925
1414b3c5c5400
15a190a93d78
hex5a76ecb648

388542281288 has 108 divisors (see below), whose sum is σ = 894948991785. Its totient is φ = 157658804352.

The previous prime is 388542281279. The next prime is 388542281293. The reversal of 388542281288 is 882182245883.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 375276309604 + 13265971684 = 612598^2 + 115178^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=440762.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234484556 + ... + 234486212.

Almost surely, 2388542281288 is an apocalyptic number.

388542281288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388542281288

388542281288 is an abundant number, since it is smaller than the sum of its proper divisors (506406710497).

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

388542281288 is an equidigital number, since it uses as much as digits as its factorization.

388542281288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 1685 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 59.

The spelling of 388542281288 in words is "three hundred eighty-eight billion, five hundred forty-two million, two hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1657 1862 2527 2888 3314 3724 5054 6628 7448 10108 11599 13256 17689 20216 23198 31483 35378 46396 62966 70756 81193 92792 125932 141512 162386 220381 251864 324772 440762 598177 649544 881524 1196354 1542667 1763048 2392708 2745649 3085334 4187239 4785416 5491298 6170668 8374478 10982596 12341336 16748956 19219543 21965192 29310673 33497912 38439086 52167331 58621346 76878172 104334662 117242692 134536801 153756344 208669324 234485384 269073602 365171317 417338648 538147204 730342634 991179289 1076294408 1460685268 1982358578 2556199219 2921370536 3964717156 5112398438 6938255023 7929434312 10224796876 13876510046 20449593752 27753020092 48567785161 55506040184 97135570322 194271140644 388542281288