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18619066944 = 263417415153
BaseRepresentation
bin10001010101110010…
…000110101001000000
31210001121001121020000
4101111302012221000
5301112440120234
612315315120000
71226253313002
oct212562065100
953047047200
1018619066944
117994a83635
1237375a3000
1319a957399a
14c88b38372
1573e8e0899
hex455c86a40

18619066944 has 280 divisors, whose sum is σ = 59876347608. Its totient is φ = 5697699840.

The previous prime is 18619066943. The next prime is 18619066987. The reversal of 18619066944 is 44966091681.

It is a happy number.

18619066944 is a `hidden beast` number, since 18 + 619 + 0 + 6 + 6 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1897473600 + 16721593344 = 43560^2 + 129312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18619066943) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3610672 + ... + 3615824.

Almost surely, 218619066944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18619066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29938173804).

18619066944 is an abundant number, since it is smaller than the sum of its proper divisors (41257280664).

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

18619066944 is a wasteful number, since it uses less digits than its factorization.

18619066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18619066944 in words is "eighteen billion, six hundred nineteen million, sixty-six thousand, nine hundred forty-four".