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18052440840 = 2335572291307
BaseRepresentation
bin10000110100000000…
…100110001100001000
31201121002212000100000
4100310000212030020
5243432411101330
612143154243000
71206233133600
oct206400461410
951532760300
1018052440840
11772414aaa5
1235b9886460
131919061975
14c3379bc00
15709cb6560
hex434026308

18052440840 has 576 divisors, whose sum is σ = 73273636800. Its totient is φ = 3980938752.

The previous prime is 18052440779. The next prime is 18052440881. The reversal of 18052440840 is 4804425081.

18052440840 is a `hidden beast` number, since 18 + 0 + 524 + 40 + 84 + 0 = 666.

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 = 18052440795 and 18052440804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13811467 + ... + 13812773.

It is an arithmetic number, because the mean of its divisors is an integer number (127211175).

Almost surely, 218052440840 is an apocalyptic number.

18052440840 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 18052440840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36636818400).

18052440840 is an abundant number, since it is smaller than the sum of its proper divisors (55221195960).

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

18052440840 is a wasteful number, since it uses less digits than its factorization.

18052440840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 18052440840 in words is "eighteen billion, fifty-two million, four hundred forty thousand, eight hundred forty".