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18075281040 = 2432525104557
BaseRepresentation
bin10000110101010111…
…101110011010010000
31201122200211102012100
4100311113232122100
5244004232443130
612145332000400
71206631232235
oct206527563220
951580742170
1018075281040
1177360301a3
123605460100
1319209caa8b
14c3682578c
1570bcc8c60
hex4355ee690

18075281040 has 60 divisors (see below), whose sum is σ = 60702821244. Its totient is φ = 4820074752.

The previous prime is 18075281023. The next prime is 18075281041. The reversal of 18075281040 is 4018257081.

18075281040 is a `hidden beast` number, since 1 + 80 + 7 + 528 + 10 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13832582544 + 4242698496 = 117612^2 + 65136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 18075280986 and 18075281004.

It is not an unprimeable number, because it can be changed into a prime (18075281041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12551559 + ... + 12552998.

Almost surely, 218075281040 is an apocalyptic number.

18075281040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18075281040 is an abundant number, since it is smaller than the sum of its proper divisors (42627540204).

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

18075281040 is a wasteful number, since it uses less digits than its factorization.

18075281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25104576 (or 25104567 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 18075281040 in words is "eighteen billion, seventy-five million, two hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 25104557 50209114 75313671 100418228 125522785 150627342 200836456 225941013 251045570 301254684 376568355 401672912 451882026 502091140 602509368 753136710 903764052 1004182280 1129705065 1205018736 1506273420 1807528104 2008364560 2259410130 3012546840 3615056208 4518820260 6025093680 9037640520 18075281040