Search a number
-
+
1997729565 = 351326112919
BaseRepresentation
bin111011100010010…
…1110111100011101
312011020002011202220
41313010232330131
513042404321230
6530122135553
7100335264306
oct16704567435
95136064686
101997729565
11935736877
124790515b9
1325ab60b00
1414d4677ad
15ba5b4d10
hex7712ef1d

1997729565 has 48 divisors (see below), whose sum is σ = 3518167680. Its totient is φ = 967299840.

The previous prime is 1997729549. The next prime is 1997729579. The reversal of 1997729565 is 5659277991.

It is not a de Polignac number, because 1997729565 - 24 = 1997729549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1997729499 and 1997729508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148176 + ... + 161094.

It is an arithmetic number, because the mean of its divisors is an integer number (73295160).

Almost surely, 21997729565 is an apocalyptic number.

1997729565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1997729565 is a deficient number, since it is larger than the sum of its proper divisors (1520438115).

1997729565 is a wasteful number, since it uses less digits than its factorization.

1997729565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13001 counting only the distinct ones).

The product of its digits is 10716300, while the sum is 60.

The square root of 1997729565 is about 44695.9681067543. The cubic root of 1997729565 is about 1259.4441078969. Note that the first 3 decimals are identical.

The spelling of 1997729565 in words is "one billion, nine hundred ninety-seven million, seven hundred twenty-nine thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 39 61 65 169 183 195 305 507 793 845 915 2379 2535 3965 10309 11895 12919 30927 38757 51545 64595 154635 167947 193785 503841 788059 839735 2183311 2364177 2519205 3940295 6549933 10244767 10916555 11820885 30734301 32749665 51223835 133181971 153671505 399545913 665909855 1997729565