Search a number
-
+
23848218160 = 24513317310133
BaseRepresentation
bin10110001101011101…
…101110111000110000
32021120000122000011021
4112031131232320300
5342320120440120
614542234025224
71502660336554
oct261535567060
967500560137
1023848218160
11a128774308
124756878214
132330a253c0
141223409864
15948a0daaa
hex58d76ee30

23848218160 has 160 divisors (see below), whose sum is σ = 62489000448. Its totient is φ = 8403886080.

The previous prime is 23848218139. The next prime is 23848218161. The reversal of 23848218160 is 6181284832.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23848218161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2348454 + ... + 2358586.

Almost surely, 223848218160 is an apocalyptic number.

23848218160 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 23848218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31244500224).

23848218160 is an abundant number, since it is smaller than the sum of its proper divisors (38640782288).

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

23848218160 is a wasteful number, since it uses less digits than its factorization.

23848218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 23848218160 in words is "twenty-three billion, eight hundred forty-eight million, two hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 73 80 104 124 130 146 155 208 248 260 292 310 365 403 496 520 584 620 730 806 949 1040 1168 1240 1460 1612 1898 2015 2263 2480 2920 3224 3796 4030 4526 4745 5840 6448 7592 8060 9052 9490 10133 11315 15184 16120 18104 18980 20266 22630 29419 32240 36208 37960 40532 45260 50665 58838 75920 81064 90520 101330 117676 131729 147095 162128 181040 202660 235352 263458 294190 314123 405320 470704 526916 588380 628246 658645 739709 810640 1053832 1176760 1256492 1317290 1479418 1570615 2107664 2353520 2512984 2634580 2958836 3141230 3698545 4083599 5025968 5269160 5917672 6282460 7397090 8167198 9616217 10538320 11835344 12564920 14794180 16334396 19232434 20417995 22930979 25129840 29588360 32668792 38464868 40835990 45861958 48081085 59176720 65337584 76929736 81671980 91723916 96162170 114654895 153859472 163343960 183447832 192324340 229309790 298102727 326687920 366895664 384648680 458619580 596205454 769297360 917239160 1192410908 1490513635 1834478320 2384821816 2981027270 4769643632 5962054540 11924109080 23848218160