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20480175721320 = 2335731786489083
BaseRepresentation
bin1001010100000011010011…
…00110010100101101101000
32200111212220122210111222120
410222001221212110231220
510141021344441040240
6111320243550151240
74212433563222360
oct452015146245550
980455818714876
1020480175721320
116586659306547
1223692414b2520
13b573702903a3
1450b36265b9a0
15257b0a3adad0
hex12a069994b68

20480175721320 has 128 divisors (see below), whose sum is σ = 72482833981440. Its totient is φ = 4530177112320.

The previous prime is 20480175721309. The next prime is 20480175721337. The reversal of 20480175721320 is 2312757108402.

It is a happy number.

It is a super-2 number, since 2×204801757213202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 393218502 + ... + 393270581.

It is an arithmetic number, because the mean of its divisors is an integer number (566272140480).

Almost surely, 220480175721320 is an apocalyptic number.

20480175721320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20480175721320 is an abundant number, since it is smaller than the sum of its proper divisors (52002658260120).

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

20480175721320 is a wasteful number, since it uses less digits than its factorization.

20480175721320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786489135 (or 786489131 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 20480175721320 in words is "twenty trillion, four hundred eighty billion, one hundred seventy-five million, seven hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 786489083 1572978166 2359467249 3145956332 3932445415 4718934498 5505423581 6291912664 7864890830 9437868996 11010847162 11797336245 15729781660 16516270743 18875737992 22021694324 23594672490 24381161573 27527117905 31459563320 33032541486 44043388648 47189344980 48762323146 55054235810 66065082972 73143484719 82581353715 94378689960 97524646292 110108471620 121905807865 132130165944 146286969438 165162707430 170668131011 195049292584 220216943240 243811615730 292573938876 330325414860 341336262022 365717423595 487623231460 512004393033 585147877752 660650829720 682672524044 731434847190 853340655055 975246462920 1024008786066 1365345048088 1462869694380 1706681310110 2048017572132 2560021965165 2925739388760 3413362620220 4096035144264 5120043930330 6826725240440 10240087860660 20480175721320