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23448199680 = 29335339239
BaseRepresentation
bin10101110101100111…
…110010001000000000
32020112010220221222000
4111311213302020000
5341010214342210
614434424144000
71460032260123
oct256547621000
966463827860
1023448199680
119a42996524
124664908000
132298ba8589
1411c623c3ba
15923844ac0
hex5759f2200

23448199680 has 160 divisors (see below), whose sum is σ = 83290204800. Its totient is φ = 6252834816.

The previous prime is 23448199679. The next prime is 23448199681. The reversal of 23448199680 is 8699184432.

23448199680 is a `hidden beast` number, since 2 + 3 + 448 + 199 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23448199679) and next prime (23448199681).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (23448199681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100500 + ... + 238739.

It is an arithmetic number, because the mean of its divisors is an integer number (520563780).

Almost surely, 223448199680 is an apocalyptic number.

23448199680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23448199680 is an abundant number, since it is smaller than the sum of its proper divisors (59842005120).

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

23448199680 is an equidigital number, since it uses as much as digits as its factorization.

23448199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339271 (or 339249 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 23448199680 in words is "twenty-three billion, four hundred forty-eight million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 339239 678478 1017717 1356956 1696195 2035434 2713912 3053151 3392390 4070868 5088585 5427824 6106302 6784780 8141736 9159453 10177170 10855648 12212604 13569560 15265755 16283472 18318906 20354340 21711296 24425208 27139120 30531510 32566944 36637812 40708680 43422592 45797265 48850416 54278240 61063020 65133888 73275624 81417360 86845184 91594530 97700832 108556480 122126040 130267776 146551248 162834720 173690368 183189060 195401664 217112960 244252080 260535552 293102496 325669440 366378120 390803328 434225920 488504160 521071104 586204992 651338880 732756240 781606656 868451840 977008320 1172409984 1302677760 1465512480 1563213312 1954016640 2344819968 2605355520 2931024960 3908033280 4689639936 5862049920 7816066560 11724099840 23448199680