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18120534240 = 2535271139303
BaseRepresentation
bin10000111000000100…
…010110100011100000
31201202211222111220210
4100320010112203200
5244102324043430
612154025534120
71211020666614
oct207004264340
951684874823
1018120534240
117759629636
123618644340
13192a1b3713
14c3c845344
15710c672b0
hex4381168e0

18120534240 has 96 divisors (see below), whose sum is σ = 57290720256. Its totient is φ = 4814277120.

The previous prime is 18120534221. The next prime is 18120534283. The reversal of 18120534240 is 4243502181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×181205342402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18120534198 and 18120534207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60429 + ... + 199731.

It is an arithmetic number, because the mean of its divisors is an integer number (596778336).

Almost surely, 218120534240 is an apocalyptic number.

18120534240 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 18120534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645360128).

18120534240 is an abundant number, since it is smaller than the sum of its proper divisors (39170186016).

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

18120534240 is a wasteful number, since it uses less digits than its factorization.

18120534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139592 (or 139584 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 18120534240 in words is "eighteen billion, one hundred twenty million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 43360 65040 130080 139303 278606 417909 557212 696515 835818 1114424 1393030 1671636 2089545 2228848 2786060 3343272 4179090 4457696 5572120 6686544 8358180 11144240 13373088 16716360 22288480 33432720 37751113 66865440 75502226 113253339 151004452 188755565 226506678 302008904 377511130 453013356 566266695 604017808 755022260 906026712 1132533390 1208035616 1510044520 1812053424 2265066780 3020089040 3624106848 4530133560 6040178080 9060267120 18120534240