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18415875420 = 22335263129671
BaseRepresentation
bin10001001001101010…
…111111010101011100
31202112102201101212000
4101021222333111130
5300203431003140
612243220042300
71221235233615
oct211152772534
952472641760
1018415875420
1178a0310858
12369b533390
13197643cb07
14c69b64c0c
1572bb55a30
hex449abf55c

18415875420 has 96 divisors (see below), whose sum is σ = 57512125440. Its totient is φ = 4892189760.

The previous prime is 18415875383. The next prime is 18415875449. The reversal of 18415875420 is 2457851481.

18415875420 is a `hidden beast` number, since 1 + 8 + 4 + 158 + 75 + 420 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77185 + ... + 206855.

It is an arithmetic number, because the mean of its divisors is an integer number (599084640).

Almost surely, 218415875420 is an apocalyptic number.

18415875420 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 18415875420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756062720).

18415875420 is an abundant number, since it is smaller than the sum of its proper divisors (39096250020).

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

18415875420 is a wasteful number, since it uses less digits than its factorization.

18415875420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129952 (or 129944 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 18415875420 in words is "eighteen billion, four hundred fifteen million, eight hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 129671 142020 259342 389013 518684 648355 778026 1167039 1296710 1556052 1945065 2334078 2593420 3501117 3890130 4668156 5835195 7002234 7780260 11670390 14004468 17505585 23340780 34103473 35011170 68206946 70022340 102310419 136413892 170517365 204620838 306931257 341034730 409241676 511552095 613862514 682069460 920793771 1023104190 1227725028 1534656285 1841587542 2046208380 3069312570 3683175084 4603968855 6138625140 9207937710 18415875420