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21383144960 = 29561149919
BaseRepresentation
bin10011111010100010…
…001110011000000000
32001012020011022102212
4103322202032120000
5322243041114320
613453455001252
71354615506332
oct237242163000
961166138385
1021383144960
119083256331
124189209228
13202a1045c8
14106bc8b452
158523d19c5
hex4fa88e600

21383144960 has 160 divisors (see below), whose sum is σ = 52516728000. Its totient is φ = 8347484160.

The previous prime is 21383144953. The next prime is 21383144971. The reversal of 21383144960 is 6944138312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23267381 + ... + 23268299.

It is an arithmetic number, because the mean of its divisors is an integer number (328229550).

Almost surely, 221383144960 is an apocalyptic number.

21383144960 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 21383144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258364000).

21383144960 is an abundant number, since it is smaller than the sum of its proper divisors (31133583040).

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

21383144960 is an equidigital number, since it uses as much as digits as its factorization.

21383144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 21383144960 in words is "twenty-one billion, three hundred eighty-three million, one hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 149 160 244 256 298 305 320 488 512 596 610 640 745 919 976 1192 1220 1280 1490 1838 1952 2384 2440 2560 2980 3676 3904 4595 4768 4880 5960 7352 7808 9089 9190 9536 9760 11920 14704 15616 18178 18380 19072 19520 23840 29408 31232 36356 36760 38144 39040 45445 47680 56059 58816 72712 73520 76288 78080 90890 95360 112118 117632 136931 145424 147040 156160 181780 190720 224236 235264 273862 280295 290848 294080 363560 381440 448472 470528 547724 560590 581696 588160 684655 727120 896944 1095448 1121180 1163392 1176320 1369310 1454240 1793888 2190896 2242360 2326784 2352640 2738620 2908480 3587776 4381792 4484720 4653568 5477240 5816960 7175552 8352791 8763584 8969440 10954480 11633920 14351104 16705582 17527168 17938880 21908960 23267840 28702208 33411164 35054336 35877760 41763955 43817920 66822328 70108672 71755520 83527910 87635840 133644656 143511040 167055820 175271680 267289312 334111640 350543360 534578624 668223280 1069157248 1336446560 2138314496 2672893120 4276628992 5345786240 10691572480 21383144960