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1664001675 = 325271056509
BaseRepresentation
bin110001100101110…
…1010011010001011
311021222010001011200
41203023222122023
511401441023200
6433041155243
756143531560
oct14313523213
94258101150
101664001675
117843160a6
123a532bb23
1320698429b
1411add4867
159b142800
hex632ea68b

1664001675 has 36 divisors (see below), whose sum is σ = 3406188240. Its totient is φ = 760685760.

The previous prime is 1664001671. The next prime is 1664001683. The reversal of 1664001675 is 5761004661.

1664001675 is a `hidden beast` number, since 1 + 6 + 640 + 0 + 1 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 1664001675 - 22 = 1664001671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1664001671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 526680 + ... + 529829.

It is an arithmetic number, because the mean of its divisors is an integer number (94616340).

Almost surely, 21664001675 is an apocalyptic number.

1664001675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1664001675 is an abundant number, since it is smaller than the sum of its proper divisors (1742186565).

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

1664001675 is a wasteful number, since it uses less digits than its factorization.

1664001675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056532 (or 1056524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1664001675 is about 40792.1766396450. The cubic root of 1664001675 is about 1184.9988249735.

The spelling of 1664001675 in words is "one billion, six hundred sixty-four million, one thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 1056509 3169527 5282545 7395563 9508581 15847635 22186689 26412725 36977815 47542905 66560067 79238175 110933445 184889075 237714525 332800335 554667225 1664001675