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235327968360 = 23345521139409
BaseRepresentation
bin1101101100101010100…
…0111101010001101000
3211111102102002102110000
43123022220331101220
512323422424441420
6300035211023000
723000434504212
oct3331250752150
9744372072400
10235327968360
1190890559771
1239736a3aa60
1319264483c74
14b565da15b2
1561c4bda690
hex36caa3d468

235327968360 has 160 divisors (see below), whose sum is σ = 792487297800. Its totient is φ = 62633226240.

The previous prime is 235327968353. The next prime is 235327968401. The reversal of 235327968360 is 63869723532.

It is a happy number.

235327968360 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 279 + 6 + 8 + 360 = 666.

235327968360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90025201764 + 145302766596 = 300042^2 + 381186^2 .

It is a super-2 number, since 2×2353279683602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 235327968297 and 235327968306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1618336 + ... + 1757744.

Almost surely, 2235327968360 is an apocalyptic number.

235327968360 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 235327968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396243648900).

235327968360 is an abundant number, since it is smaller than the sum of its proper divisors (557159329440).

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

235327968360 is a wasteful number, since it uses less digits than its factorization.

235327968360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139953 (or 139940 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 235327968360 in words is "two hundred thirty-five billion, three hundred twenty-seven million, nine hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 521 540 648 810 1042 1080 1563 1620 2084 2605 3126 3240 4168 4689 5210 6252 7815 9378 10420 12504 14067 15630 18756 20840 23445 28134 31260 37512 42201 46890 56268 62520 70335 84402 93780 112536 139409 140670 168804 187560 211005 278818 281340 337608 418227 422010 557636 562680 697045 836454 844020 1115272 1254681 1394090 1672908 1688040 2091135 2509362 2788180 3345816 3764043 4182270 5018724 5576360 6273405 7528086 8364540 10037448 11292129 12546810 15056172 16729080 18820215 22584258 25093620 30112344 37640430 45168516 50187240 56460645 72632089 75280860 90337032 112921290 145264178 150561720 217896267 225842580 290528356 363160445 435792534 451685160 581056712 653688801 726320890 871585068 1089481335 1307377602 1452641780 1743170136 1961066403 2178962670 2614755204 2905283560 3268444005 3922132806 4357925340 5229510408 5883199209 6536888010 7844265612 8715850680 9805332015 11766398418 13073776020 15688531224 19610664030 23532796836 26147552040 29415996045 39221328060 47065593672 58831992090 78442656120 117663984180 235327968360