Search a number
-
+
23618001421960 = 235112711187166867
BaseRepresentation
bin1010101111010111111101…
…00101011100011010001000
310002121212012010102211011221
411113223332211130122020
511043424131331000320
6122121543212531424
74655226043500541
oct527537645343210
9102555163384157
1023618001421960
11758637a0a0040
1227953b0a80b74
13102422507b9ba
145b91900b54c8
152ae5599d23aa
hex157afe95c688

23618001421960 has 128 divisors (see below), whose sum is σ = 58234742691840. Its totient is φ = 8549412883200.

The previous prime is 23618001421951. The next prime is 23618001422023. The reversal of 23618001421960 is 6912410081632.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141454447 + ... + 141621313.

It is an arithmetic number, because the mean of its divisors is an integer number (454958927280).

Almost surely, 223618001421960 is an apocalyptic number.

23618001421960 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 23618001421960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29117371345920).

23618001421960 is an abundant number, since it is smaller than the sum of its proper divisors (34616741269880).

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

23618001421960 is a wasteful number, since it uses less digits than its factorization.

23618001421960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168347 (or 168343 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 23618001421960 in words is "twenty-three trillion, six hundred eighteen billion, one million, four hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 1084 1187 1355 2168 2374 2710 2981 4748 5420 5935 5962 9496 10840 11870 11924 13057 14905 23740 23848 26114 29810 47480 52228 59620 65285 104456 119240 130570 166867 261140 321677 333734 522280 643354 667468 834335 1286708 1334936 1608385 1668670 1835537 2573416 3216770 3337340 3538447 3671074 6433540 6674680 7076894 7342148 9177685 12867080 14153788 14684296 17692235 18355370 28307576 35384470 36710740 45220957 70768940 73421480 90441914 141537880 180883828 198071129 226104785 361767656 396142258 452209570 497430527 792284516 904419140 990355645 994861054 1584569032 1808838280 1980711290 1989722108 2178782419 2487152635 3961422580 3979444216 4357564838 4974305270 7922845160 8715129676 9948610540 10893912095 17430259352 19897221080 21787824190 43575648380 53677275959 87151296760 107354551918 214709103836 268386379795 429418207672 536772759590 590450035549 1073545519180 1180900071098 2147091038360 2361800142196 2952250177745 4723600284392 5904500355490 11809000710980 23618001421960