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163482000480 = 25325145977813
BaseRepresentation
bin1001100001000001001…
…0010101110001100000
3120121222100020002200200
42120100102111301200
510134302343003410
6203034054345200
714545144035051
oct2302022256140
9517870202620
10163482000480
1163372366707
122782595b200
1312554773536
147cac148728
1543bc4e13c0
hex2610495c60

163482000480 has 144 divisors (see below), whose sum is σ = 558271874160. Its totient is φ = 43564760064.

The previous prime is 163482000467. The next prime is 163482000559. The reversal of 163482000480 is 84000284361.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2062054 + ... + 2139866.

It is an arithmetic number, because the mean of its divisors is an integer number (3876888015).

Almost surely, 2163482000480 is an apocalyptic number.

163482000480 is a gapful number since it is divisible by the number (10) 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 163482000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279135937080).

163482000480 is an abundant number, since it is smaller than the sum of its proper divisors (394789873680).

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

163482000480 is a wasteful number, since it uses less digits than its factorization.

163482000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79293 (or 79282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 163482000480 in words is "one hundred sixty-three billion, four hundred eighty-two million, four hundred eighty", and thus it is an aban number.

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 1440 1459 2918 4377 5836 7295 8754 11672 13131 14590 17508 21885 23344 26262 29180 35016 43770 46688 52524 58360 65655 70032 77813 87540 105048 116720 131310 140064 155626 175080 210096 233439 233440 262620 311252 350160 389065 420192 466878 525240 622504 700317 700320 778130 933756 1050480 1167195 1245008 1400634 1556260 1867512 2100960 2334390 2490016 2801268 3112520 3501585 3735024 4668780 5602536 6225040 7003170 7470048 9337560 11205072 12450080 14006340 18675120 22410144 28012680 37350240 56025360 112050720 113529167 227058334 340587501 454116668 567645835 681175002 908233336 1021762503 1135291670 1362350004 1702937505 1816466672 2043525006 2270583340 2724700008 3405875010 3632933344 4087050012 4541166680 5108812515 5449400016 6811750020 8174100024 9082333360 10217625030 10898800032 13623500040 16348200048 18164666720 20435250060 27247000080 32696400096 40870500120 54494000160 81741000240 163482000480