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1330353972675 = 3252721337250867
BaseRepresentation
bin10011010110111111010…
…001101010010111000011
311201011212122201000211100
4103112333101222113003
5133244031104111200
62455053422345443
7165054261121500
oct23267721522703
94634778630740
101330353972675
11473222154122
121959b8a2b283
13985b4906a10
1448564a164a7
1524913b6ed00
hex135bf46a5c3

1330353972675 has 216 divisors, whose sum is σ = 3065750456496. Its totient is φ = 546205524480.

The previous prime is 1330353972667. The next prime is 1330353972707. The reversal of 1330353972675 is 5762793530331.

1330353972675 is a `hidden beast` number, since 1 + 3 + 30 + 3 + 539 + 7 + 2 + 6 + 75 = 666.

It is not a de Polignac number, because 1330353972675 - 23 = 1330353972667 is a prime.

It is a super-2 number, since 2×13303539726752 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5177592 + ... + 5428458.

Almost surely, 21330353972675 is an apocalyptic number.

1330353972675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1330353972675 is an abundant number, since it is smaller than the sum of its proper divisors (1735396483821).

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

1330353972675 is a wasteful number, since it uses less digits than its factorization.

1330353972675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250947 (or 250932 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 54.

The spelling of 1330353972675 in words is "one trillion, three hundred thirty billion, three hundred fifty-three million, nine hundred seventy-two thousand, six hundred seventy-five".