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385930322568 = 233272104592
BaseRepresentation
bin1011001110110110011…
…11010110001010001000
31100220011010222200221200
411213123033112022020
522310341130310233
6453143254104200
736611466421200
oct5473317261210
91326133880850
10385930322568
1113974367350a
126296734b060
132a51577471b
141497174d400
15a08b600313
hex59db3d6288

385930322568 has 108 divisors (see below), whose sum is σ = 1215993682215. Its totient is φ = 110255263776.

The previous prime is 385930322567. The next prime is 385930322581. The reversal of 385930322568 is 865223039583.

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.

385930322568 is a `hidden beast` number, since 3 + 8 + 59 + 3 + 0 + 3 + 22 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192965161284 + 192965161284 = 439278^2 + 439278^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=439278.

It is a super-2 number, since 2×3859303225682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385930322563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36894123 + ... + 36904581.

Almost surely, 2385930322568 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 385930322568

385930322568 is an abundant number, since it is smaller than the sum of its proper divisors (830063359647).

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

385930322568 is an equidigital number, since it uses as much as digits as its factorization.

385930322568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20944 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 385930322568 in words is "three hundred eighty-five billion, nine hundred thirty million, three hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 10459 20918 31377 41836 62754 73213 83672 94131 125508 146426 188262 219639 251016 292852 376524 439278 512491 585704 658917 753048 878556 1024982 1317834 1537473 1757112 2049964 2635668 3074946 4099928 4612419 5271336 6149892 9224838 12299784 18449676 36899352 109390681 218781362 328172043 437562724 656344086 765734767 875125448 984516129 1312688172 1531469534 1969032258 2297204301 2625376344 3062939068 3938064516 4594408602 5360143369 6125878136 6891612903 7876129032 9188817204 10720286738 13783225806 16080430107 18377634408 21440573476 27566451612 32160860214 42881146952 48241290321 55132903224 64321720428 96482580642 128643440856 192965161284 385930322568