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23318793660160 = 285231873422893
BaseRepresentation
bin1010100110101010101000…
…11010011010011100000000
310001120020212211020122221101
411103111110122122130000
511024023342134111120
6121332301140104144
74624504305463435
oct523252432323400
9101506784218841
1023318793660160
117480499113059
122747408995054
131001c504160bb
145a88c827bb8c
152a6896b6590a
hex15355469a700

23318793660160 has 144 divisors (see below), whose sum is σ = 58315566947904. Its totient is φ = 8917188673536.

The previous prime is 23318793660131. The next prime is 23318793660179. The reversal of 23318793660160 is 6106639781332.

It is a super-2 number, since 2×233187936601602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54929674 + ... + 55352566.

It is an arithmetic number, because the mean of its divisors is an integer number (404969214916).

Almost surely, 223318793660160 is an apocalyptic number.

23318793660160 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 23318793660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29157783473952).

23318793660160 is an abundant number, since it is smaller than the sum of its proper divisors (34996773287744).

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

23318793660160 is a wasteful number, since it uses less digits than its factorization.

23318793660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424810 (or 424796 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 23318793660160 in words is "twenty-three trillion, three hundred eighteen billion, seven hundred ninety-three million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 1873 2944 3680 3746 5888 7360 7492 9365 14720 14984 18730 29440 29968 37460 43079 59936 74920 86158 119872 149840 172316 215395 239744 299680 344632 422893 430790 479488 599360 689264 845786 861580 1198720 1378528 1691572 1723160 2114465 2397440 2757056 3383144 3446320 4228930 5514112 6766288 6892640 8457860 9726539 11028224 13532576 13785280 16915720 19453078 27065152 27570560 33831440 38906156 48632695 54130304 55141120 67662880 77812312 97265390 108260608 135325760 155624624 194530780 270651520 311249248 389061560 541303040 622498496 778123120 792078589 1244996992 1556246240 1584157178 2489993984 3112492480 3168314356 3960392945 6224984960 6336628712 7920785890 12449969920 12673257424 15841571780 18217807547 25346514848 31683143560 36435615094 50693029696 63366287120 72871230188 91089037735 101386059392 126732574240 145742460376 182178075470 202772118784 253465148480 291484920752 364356150940 506930296960 582969841504 728712301880 1013860593920 1165939683008 1457424603760 2331879366016 2914849207520 4663758732032 5829698415040 11659396830080 23318793660160