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80448338160 = 243554138289
BaseRepresentation
bin100101011101100011…
…0000011100011110000
321200122120202000100000
41022323012003203300
52304224233310120
6100542451030000
75545404406641
oct1127306034360
9250576660300
1080448338160
1131132a98193
1213711b9b300
137780c9c278
143c725236c8
15215ca2e990
hex12bb1838f0

80448338160 has 120 divisors (see below), whose sum is σ = 280178786160. Its totient is φ = 21452884992.

The previous prime is 80448338153. The next prime is 80448338219. The reversal of 80448338160 is 6183384408.

80448338160 is a `hidden beast` number, since 8 + 0 + 4 + 483 + 3 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×804483381602 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2049705 + ... + 2088584.

It is an arithmetic number, because the mean of its divisors is an integer number (2334823218).

Almost surely, 280448338160 is an apocalyptic number.

80448338160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80448338160 is an abundant number, since it is smaller than the sum of its proper divisors (199730448000).

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

80448338160 is a wasteful number, since it uses less digits than its factorization.

80448338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138317 (or 4138299 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 80448338160 in words is "eighty billion, four hundred forty-eight million, three hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 4138289 8276578 12414867 16553156 20691445 24829734 33106312 37244601 41382890 49659468 62074335 66212624 74489202 82765780 99318936 111733803 124148670 148978404 165531560 186223005 198637872 223467606 248297340 297956808 331063120 335201409 372446010 446935212 496594680 558669015 595913616 670402818 744892020 893870424 993189360 1005604227 1117338030 1340805636 1489784040 1676007045 1787740848 2011208454 2234676060 2681611272 2979568080 3352014090 4022416908 4469352120 5028021135 5363222544 6704028180 8044833816 8938704240 10056042270 13408056360 16089667632 20112084540 26816112720 40224169080 80448338160