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1682156593 = 13731772557
BaseRepresentation
bin110010001000011…
…1010110000110001
311100020021102001001
41210100322300301
511421113002333
6434530242001
756454044425
oct14420726061
94306242031
101682156593
11793596167
123ab426301
1320a66c940
1411d59cb85
159ca2bb7d
hex6443ac31

1682156593 has 8 divisors (see below), whose sum is σ = 1836370088. Its totient is φ = 1531488384.

The previous prime is 1682156573. The next prime is 1682156599. The reversal of 1682156593 is 3956512861.

It can be written as a sum of positive squares in 4 ways, for example, as 45792289 + 1636364304 = 6767^2 + 40452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1682156593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1682156599) 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 7 ways as a sum of consecutive naturals, for example, 885330 + ... + 887227.

It is an arithmetic number, because the mean of its divisors is an integer number (229546261).

Almost surely, 21682156593 is an apocalyptic number.

1682156593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1682156593 is a deficient number, since it is larger than the sum of its proper divisors (154213495).

1682156593 is a wasteful number, since it uses less digits than its factorization.

1682156593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772643.

The product of its digits is 388800, while the sum is 46.

The square root of 1682156593 is about 41014.1023673565. The cubic root of 1682156593 is about 1189.2928484635.

The spelling of 1682156593 in words is "one billion, six hundred eighty-two million, one hundred fifty-six thousand, five hundred ninety-three".

Divisors: 1 13 73 949 1772557 23043241 129396661 1682156593