Search a number
-
+
1997881769 = 131731291619
BaseRepresentation
bin111011100010101…
…0100000110101001
312011020100220120002
41313011110012221
513042424204034
6530125312345
7100336500122
oct16705240651
95136326502
101997881769
11935830164
124791056b5
1325abb5180
1414d4a7049
15ba5e4e7e
hex771541a9

1997881769 has 16 divisors (see below), whose sum is σ = 2351623680. Its totient is φ = 1679719680.

The previous prime is 1997881751. The next prime is 1997881771. The reversal of 1997881769 is 9671887991.

It is a de Polignac number, because none of the positive numbers 2k-1997881769 is a prime.

It is a super-3 number, since 3×19978817693 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1997881789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138959 + ... + 152660.

It is an arithmetic number, because the mean of its divisors is an integer number (146976480).

Almost surely, 21997881769 is an apocalyptic number.

It is an amenable number.

1997881769 is a deficient number, since it is larger than the sum of its proper divisors (353741911).

1997881769 is a wasteful number, since it uses less digits than its factorization.

1997881769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291680.

The product of its digits is 13716864, while the sum is 65.

The square root of 1997881769 is about 44697.6707334957. The cubic root of 1997881769 is about 1259.4760921331.

The spelling of 1997881769 in words is "one billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, seven hundred sixty-nine".

Divisors: 1 13 17 31 221 403 527 6851 291619 3791047 4957523 9040189 64447799 117522457 153683213 1997881769