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234797125860 = 2232511173685459
BaseRepresentation
bin1101101010101011111…
…1111101000011100100
3211110001102012211102200
43122222333331003210
512321331031011420
6255510405134500
722651330432353
oct3325277750344
9743042184380
10234797125860
1190638946960
12396090ba430
13191ab4c058b
14b51569b99a
1561932cdb90
hex36aaffd0e4

234797125860 has 144 divisors (see below), whose sum is σ = 781457302080. Its totient is φ = 56591412480.

The previous prime is 234797125859. The next prime is 234797125889. The reversal of 234797125860 is 68521797432.

It is a happy number.

234797125860 is a `hidden beast` number, since 2 + 3 + 47 + 9 + 7 + 12 + 586 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 234797125797 and 234797125806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190 + ... + 685269.

It is an arithmetic number, because the mean of its divisors is an integer number (5426786820).

It is a 1-persistent number, because it is pandigital, but 2⋅234797125860 = 469594251720 is not.

Almost surely, 2234797125860 is an apocalyptic number.

234797125860 is a gapful number since it is divisible by the number (20) 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 234797125860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390728651040).

234797125860 is an abundant number, since it is smaller than the sum of its proper divisors (546660176220).

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

234797125860 is a wasteful number, since it uses less digits than its factorization.

234797125860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685658 (or 685653 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 234797125860 in words is "two hundred thirty-four billion, seven hundred ninety-seven million, one hundred twenty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 173 180 198 220 330 346 396 495 519 660 692 865 990 1038 1557 1730 1903 1980 2076 2595 3114 3460 3806 5190 5709 6228 7612 7785 9515 10380 11418 15570 17127 19030 22836 28545 31140 34254 38060 57090 68508 85635 114180 171270 342540 685459 1370918 2056377 2741836 3427295 4112754 6169131 6854590 7540049 8225508 10281885 12338262 13709180 15080098 20563770 22620147 24676524 30160196 30845655 37700245 41127540 45240294 61691310 67860441 75400490 90480588 113100735 118584407 123382620 135720882 150800980 226201470 237168814 271441764 339302205 355753221 452402940 474337628 592922035 678604410 711506442 1067259663 1185844070 1304428477 1357208820 1423012884 1778766105 2134519326 2371688140 2608856954 3557532210 3913285431 4269038652 5217713908 5336298315 6522142385 7115064420 7826570862 10672596630 11739856293 13044284770 15653141724 19566427155 21345193260 23479712586 26088569540 39132854310 46959425172 58699281465 78265708620 117398562930 234797125860