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1661336640 = 263253071879
BaseRepresentation
bin110001100000101…
…1111110001000000
311021210002122102200
41203001133301000
511400300233030
6432504113200
756112062025
oct14301376100
94253078380
101661336640
11782865897
123a4465800
13206260242
1411a8dd54c
159acb7d60
hex6305fc40

1661336640 has 168 divisors, whose sum is σ = 5735970240. Its totient is φ = 441345024.

The previous prime is 1661336627. The next prime is 1661336641. The reversal of 1661336640 is 466331661.

1661336640 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 3 + 3 + 6 + 640 = 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 = 1661336595 and 1661336604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661336641) 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 23 ways as a sum of consecutive naturals, for example, 883221 + ... + 885099.

It is an arithmetic number, because the mean of its divisors is an integer number (34142680).

Almost surely, 21661336640 is an apocalyptic number.

1661336640 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 1661336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867985120).

1661336640 is an abundant number, since it is smaller than the sum of its proper divisors (4074633600).

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

1661336640 is a wasteful number, since it uses less digits than its factorization.

1661336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1661336640 is about 40759.4975435174. The cubic root of 1661336640 is about 1184.3658627078.

The spelling of 1661336640 in words is "one billion, six hundred sixty-one million, three hundred thirty-six thousand, six hundred forty".