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21868783987440 = 24351316741971411
BaseRepresentation
bin1001111100011101110010…
…00110011110101011110000
32212102122011011020021100210
410332032321012132223300
510331244232200044230
6114302214120344120
74414652565563325
oct476167106365360
985378134207323
1021868783987440
116a71554496535
122552397615040
13c282a9a63910
14558651d44b4c
1527dccd39eeb0
hex13e3b919eaf0

21868783987440 has 160 divisors (see below), whose sum is σ = 73445270201856. Its totient is φ = 5350851118080.

The previous prime is 21868783987439. The next prime is 21868783987441. The reversal of 21868783987440 is 4478938786812.

It is an interprime number because it is at equal distance from previous prime (21868783987439) and next prime (21868783987441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21868783987441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20464666 + ... + 21506745.

Almost surely, 221868783987440 is an apocalyptic number.

21868783987440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21868783987440 is an abundant number, since it is smaller than the sum of its proper divisors (51576486214416).

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

21868783987440 is a wasteful number, since it uses less digits than its factorization.

21868783987440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41971607 (or 41971601 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 75.

The spelling of 21868783987440 in words is "twenty-one trillion, eight hundred sixty-eight billion, seven hundred eighty-three million, nine hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 167 195 208 240 260 312 334 390 501 520 624 668 780 835 1002 1040 1336 1560 1670 2004 2171 2505 2672 3120 3340 4008 4342 5010 6513 6680 8016 8684 10020 10855 13026 13360 17368 20040 21710 26052 32565 34736 40080 43420 52104 65130 86840 104208 130260 173680 260520 521040 41971411 83942822 125914233 167885644 209857055 251828466 335771288 419714110 503656932 545628343 629571165 671542576 839428220 1007313864 1091256686 1259142330 1636885029 1678856440 2014627728 2182513372 2518284660 2728141715 3273770058 3357712880 4365026744 5036569320 5456283430 6547540116 7009225637 8184425145 8730053488 10073138640 10912566860 13095080232 14018451274 16368850290 21027676911 21825133720 26190160464 28036902548 32737700580 35046128185 42055353822 43650267440 56073805096 65475401160 70092256370 84110707644 91119933281 105138384555 112147610192 130950802320 140184512740 168221415288 182239866562 210276769110 273359799843 280369025480 336442830576 364479733124 420553538220 455599666405 546719599686 560738050960 728959466248 841107076440 911199332810 1093439199372 1366798999215 1457918932496 1682214152880 1822398665620 2186878398744 2733597998430 3644797331240 4373756797488 5467195996860 7289594662480 10934391993720 21868783987440