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80613920160 = 2532585965171
BaseRepresentation
bin100101100010011110…
…1101100110110100000
321201002010022110010200
41023010331230312200
52310044130421120
6101011124025200
75552455005204
oct1130475546640
9251063273120
1080613920160
1131208502414
1213759532200
1377a9395697
143c8a506b04
15216c33ae90
hex12c4f6cda0

80613920160 has 144 divisors (see below), whose sum is σ = 275419478880. Its totient is φ = 21471690240.

The previous prime is 80613920131. The next prime is 80613920183. The reversal of 80613920160 is 6102931608.

80613920160 is a `hidden beast` number, since 8 + 0 + 613 + 9 + 20 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204375 + ... + 1269545.

It is an arithmetic number, because the mean of its divisors is an integer number (1912635270).

Almost surely, 280613920160 is an apocalyptic number.

80613920160 is a gapful number since it is divisible by the number (80) 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 80613920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137709739440).

80613920160 is an abundant number, since it is smaller than the sum of its proper divisors (194805558720).

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

80613920160 is a wasteful number, since it uses less digits than its factorization.

80613920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66051 (or 66040 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 80613920160 in words is "eighty billion, six hundred thirteen million, nine hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 859 1440 1718 2577 3436 4295 5154 6872 7731 8590 10308 12885 13744 15462 17180 20616 25770 27488 30924 34360 38655 41232 51540 61848 65171 68720 77310 82464 103080 123696 130342 137440 154620 195513 206160 247392 260684 309240 325855 391026 412320 521368 586539 618480 651710 782052 977565 1042736 1173078 1236960 1303420 1564104 1955130 2085472 2346156 2606840 2932695 3128208 3910260 4692312 5213680 5865390 6256416 7820520 9384624 10427360 11730780 15641040 18769248 23461560 31282080 46923120 55981889 93846240 111963778 167945667 223927556 279909445 335891334 447855112 503837001 559818890 671782668 839728335 895710224 1007674002 1119637780 1343565336 1679456670 1791420448 2015348004 2239275560 2519185005 2687130672 3358913340 4030696008 4478551120 5038370010 5374261344 6717826680 8061392016 8957102240 10076740020 13435653360 16122784032 20153480040 26871306720 40306960080 80613920160